Solved on Mar 25, 2024

Find the odd one out in the given sets. Explain your reasoning. Sets: $5,8,2,1,2,6$ , $15,18,12,11,0,16$ , $58,21,26$ , $9,4,1,3,7,5$ .

STEP 1

1. Each sequence of numbers may have a distinct property or pattern.
2. The goal is to identify a unique characteristic in one of the sequences that sets it apart from the others.
3. The reasoning should be based on mathematical properties or patterns.

STEP 2

1. Analyze each sequence for patterns or properties.
2. Identify unique characteristics for each sequence.
3. Determine which sequence has a characteristic that is not shared by the others.

STEP 3

Analyze the first sequence for patterns or properties.
$5, 8, 2, 1, 2, 6$
Look for arithmetic sequences, geometric sequences, prime numbers, even and odd numbers, or any other notable mathematical patterns.

STEP 4

Identify any unique characteristics of the first sequence.
Notice that the sequence contains both even and odd numbers and does not follow a simple arithmetic or geometric pattern. It also includes a repeated number (2).

STEP 5

Analyze the second sequence for patterns or properties.
$15, 18, 12, 11, 0, 16$
Look for arithmetic sequences, geometric sequences, prime numbers, even and odd numbers, or any other notable mathematical patterns.

STEP 6

Identify any unique characteristics of the second sequence.
The sequence is primarily composed of even numbers, with one odd number (11) and includes the number 0, which is neither positive nor negative.

STEP 7

Analyze the third sequence for patterns or properties.
$58, 21, 26$
Look for arithmetic sequences, geometric sequences, prime numbers, even and odd numbers, or any other notable mathematical patterns.

STEP 8

Identify any unique characteristics of the third sequence.
The sequence has fewer numbers than the others and contains both even and odd numbers. It does not follow a simple arithmetic or geometric pattern.

STEP 9

Analyze the fourth sequence for patterns or properties.
$9, 4, 1, 3, 7, 5$
Look for arithmetic sequences, geometric sequences, prime numbers, even and odd numbers, or any other notable mathematical patterns.

STEP 10

Identify any unique characteristics of the fourth sequence.
The sequence consists entirely of odd numbers and does not follow a simple arithmetic or geometric pattern. It also includes single-digit numbers only.

STEP 11

Compare the identified characteristics of each sequence to determine which one has a unique property that the others do not share.
Consider the length of the sequences, the types of numbers included (even, odd, prime, etc.), and the presence of any arithmetic or geometric patterns.

STEP 12

Determine which sequence has a characteristic that is not shared by the others based on the comparison.
The third sequence is the only one with a different number of elements compared to the others, which all have six numbers. This could be considered a unique characteristic that sets it apart.
Based on the analysis, one could argue that the third sequence, $58, 21, 26$ , does not belong because it has a different number of elements than the other sequences. However, other reasoning could be valid as well, depending on the properties or patterns one chooses to focus on.

Was this helpful?

Find the odd one out in the given sets. Explain your reasoning. Sets: $5,8,2,1,2,6$ , $15,18,12,11,0,16$ , $58,21,26$ , $9,4,1,3,7,5$ .

STEP 1

1. Each sequence of numbers may have a distinct property or pattern.
2. The goal is to identify a unique characteristic in one of the sequences that sets it apart from the others.
3. The reasoning should be based on mathematical properties or patterns.

STEP 2

1. Analyze each sequence for patterns or properties.
2. Identify unique characteristics for each sequence.
3. Determine which sequence has a characteristic that is not shared by the others.

STEP 3

Analyze the first sequence for patterns or properties.
$5, 8, 2, 1, 2, 6$
Look for arithmetic sequences, geometric sequences, prime numbers, even and odd numbers, or any other notable mathematical patterns.

STEP 4

Identify any unique characteristics of the first sequence.
Notice that the sequence contains both even and odd numbers and does not follow a simple arithmetic or geometric pattern. It also includes a repeated number (2).

STEP 5

Analyze the second sequence for patterns or properties.
$15, 18, 12, 11, 0, 16$
Look for arithmetic sequences, geometric sequences, prime numbers, even and odd numbers, or any other notable mathematical patterns.

STEP 6

Identify any unique characteristics of the second sequence.
The sequence is primarily composed of even numbers, with one odd number (11) and includes the number 0, which is neither positive nor negative.

STEP 7

Analyze the third sequence for patterns or properties.
$58, 21, 26$
Look for arithmetic sequences, geometric sequences, prime numbers, even and odd numbers, or any other notable mathematical patterns.

STEP 8

Identify any unique characteristics of the third sequence.
The sequence has fewer numbers than the others and contains both even and odd numbers. It does not follow a simple arithmetic or geometric pattern.

STEP 9

Analyze the fourth sequence for patterns or properties.
$9, 4, 1, 3, 7, 5$
Look for arithmetic sequences, geometric sequences, prime numbers, even and odd numbers, or any other notable mathematical patterns.

STEP 10

Identify any unique characteristics of the fourth sequence.
The sequence consists entirely of odd numbers and does not follow a simple arithmetic or geometric pattern. It also includes single-digit numbers only.

STEP 11

Compare the identified characteristics of each sequence to determine which one has a unique property that the others do not share.
Consider the length of the sequences, the types of numbers included (even, odd, prime, etc.), and the presence of any arithmetic or geometric patterns.

STEP 12

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the odd one out in the given sets. Explain your reasoning. Sets: 5,8,2,1,2,65,8,2,1,2,65,8,2,1,2,6, 15,18,12,11,0,1615,18,12,11,0,1615,18,12,11,0,16, 58,21,2658,21,2658,21,26, 9,4,1,3,7,59,4,1,3,7,59,4,1,3,7,5.

STEP 1

1. Each sequence of numbers may have a distinct property or pattern.2. The goal is to identify a unique characteristic in one of the sequences that sets it apart from the others.3. The reasoning should be based on mathematical properties or patterns.

STEP 2

1. Analyze each sequence for patterns or properties.2. Identify unique characteristics for each sequence.3. Determine which sequence has a characteristic that is not shared by the others.

STEP 3

Analyze the first sequence for patterns or properties.5,8,2,1,2,6 5, 8, 2, 1, 2, 6 5,8,2,1,2,6Look for arithmetic sequences, geometric sequences, prime numbers, even and odd numbers, or any other notable mathematical patterns.

STEP 4

Identify any unique characteristics of the first sequence.Notice that the sequence contains both even and odd numbers and does not follow a simple arithmetic or geometric pattern. It also includes a repeated number (2).

STEP 5

Analyze the second sequence for patterns or properties.15,18,12,11,0,16 15, 18, 12, 11, 0, 16 15,18,12,11,0,16Look for arithmetic sequences, geometric sequences, prime numbers, even and odd numbers, or any other notable mathematical patterns.

STEP 6

Identify any unique characteristics of the second sequence.The sequence is primarily composed of even numbers, with one odd number (11) and includes the number 0, which is neither positive nor negative.

STEP 7

Analyze the third sequence for patterns or properties.58,21,26 58, 21, 26 58,21,26Look for arithmetic sequences, geometric sequences, prime numbers, even and odd numbers, or any other notable mathematical patterns.

STEP 8

Identify any unique characteristics of the third sequence.The sequence has fewer numbers than the others and contains both even and odd numbers. It does not follow a simple arithmetic or geometric pattern.

STEP 9

Analyze the fourth sequence for patterns or properties.9,4,1,3,7,5 9, 4, 1, 3, 7, 5 9,4,1,3,7,5Look for arithmetic sequences, geometric sequences, prime numbers, even and odd numbers, or any other notable mathematical patterns.

STEP 10

Identify any unique characteristics of the fourth sequence.The sequence consists entirely of odd numbers and does not follow a simple arithmetic or geometric pattern. It also includes single-digit numbers only.

STEP 11

Compare the identified characteristics of each sequence to determine which one has a unique property that the others do not share.Consider the length of the sequences, the types of numbers included (even, odd, prime, etc.), and the presence of any arithmetic or geometric patterns.

STEP 12

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the odd one out in the given sets. Explain your reasoning. Sets: $5,8,2,1,2,6$ , $15,18,12,11,0,16$ , $58,21,26$ , $9,4,1,3,7,5$ .

1. Each sequence of numbers may have a distinct property or pattern.
2. The goal is to identify a unique characteristic in one of the sequences that sets it apart from the others.
3. The reasoning should be based on mathematical properties or patterns.

1. Analyze each sequence for patterns or properties.
2. Identify unique characteristics for each sequence.
3. Determine which sequence has a characteristic that is not shared by the others.

Analyze the first sequence for patterns or properties.
$5, 8, 2, 1, 2, 6$
Look for arithmetic sequences, geometric sequences, prime numbers, even and odd numbers, or any other notable mathematical patterns.

Identify any unique characteristics of the first sequence.
Notice that the sequence contains both even and odd numbers and does not follow a simple arithmetic or geometric pattern. It also includes a repeated number (2).

Analyze the second sequence for patterns or properties.
$15, 18, 12, 11, 0, 16$
Look for arithmetic sequences, geometric sequences, prime numbers, even and odd numbers, or any other notable mathematical patterns.

Identify any unique characteristics of the second sequence.
The sequence is primarily composed of even numbers, with one odd number (11) and includes the number 0, which is neither positive nor negative.

Analyze the third sequence for patterns or properties.
$58, 21, 26$
Look for arithmetic sequences, geometric sequences, prime numbers, even and odd numbers, or any other notable mathematical patterns.

Identify any unique characteristics of the third sequence.
The sequence has fewer numbers than the others and contains both even and odd numbers. It does not follow a simple arithmetic or geometric pattern.

Analyze the fourth sequence for patterns or properties.
$9, 4, 1, 3, 7, 5$
Look for arithmetic sequences, geometric sequences, prime numbers, even and odd numbers, or any other notable mathematical patterns.

Identify any unique characteristics of the fourth sequence.
The sequence consists entirely of odd numbers and does not follow a simple arithmetic or geometric pattern. It also includes single-digit numbers only.

Compare the identified characteristics of each sequence to determine which one has a unique property that the others do not share.
Consider the length of the sequences, the types of numbers included (even, odd, prime, etc.), and the presence of any arithmetic or geometric patterns.