Solved on Mar 15, 2024

Find the next number in the pattern: 2, subtract 6 from each term. Describe the pattern.

STEP 1

Assumptions
1. The pattern involves a sequence of numbers.
2. Each term in the sequence is obtained by subtracting 6 from the previous term.

STEP 2

Identify the pattern in the sequence.
The given sequence is 48, 42, 36, 30, 24. We can see that each number is 6 less than the previous number.

STEP 3

Continue the pattern by subtracting 6 from the last given number.
Nextterm=Lastterm6Next\, term = Last\, term - 6

STEP 4

Plug in the value of the last term to find the next term.
Nextterm=246Next\, term = 24 - 6

STEP 5

Calculate the next term in the sequence.
Nextterm=246=18Next\, term = 24 - 6 = 18

STEP 6

Describe a feature of the pattern.
The pattern is a simple arithmetic sequence where each term is 6 less than the previous term. This is also known as a linear sequence with a common difference of -6.
The next number in the sequence is 18.

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