QuestionWhat is the next number in the sequence? $1, 2, 2, 4, 8, 32, ?$

Studdy Solution

STEP 1

Assumptions1. The sequence is1,,,4,8,32. The sequence follows a certain pattern that we need to identify

STEP 2

Observe the sequence to identify a pattern. $1,2,2,4,8,32$

STEP 3

Notice that from the second number onwards, each number could be obtained by multiplying the previous two numbers.

STEP 4

Write down the multiplication rule that seems to be followed in this sequence.
$a_{n} = a_{n-1} \times a_{n-2}$ where $a_{n}$ is the nth term in the sequence.

STEP 5

To find the next number in the sequence, apply the multiplication rule to the last two numbers in the sequence.
$a_{7} = a_{} \times a_{5}$

STEP 6

Substitute the values of $a_{6}$ and $a_{5}$ into the equation.
$a_{} =32 \times8$

STEP 7

Calculate the value of $a_{7}$ .
$a_{7} =32 \times =256$ The next number that will appear in the sequence is256.

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QuestionWhat is the next number in the sequence? $1, 2, 2, 4, 8, 32, ?$

Studdy Solution

STEP 1

Assumptions1. The sequence is1,,,4,8,32. The sequence follows a certain pattern that we need to identify

STEP 2

Observe the sequence to identify a pattern. $1,2,2,4,8,32$

STEP 3

Notice that from the second number onwards, each number could be obtained by multiplying the previous two numbers.

STEP 4

Write down the multiplication rule that seems to be followed in this sequence.
$a_{n} = a_{n-1} \times a_{n-2}$ where $a_{n}$ is the nth term in the sequence.

STEP 5

To find the next number in the sequence, apply the multiplication rule to the last two numbers in the sequence.
$a_{7} = a_{} \times a_{5}$

STEP 6

Substitute the values of $a_{6}$ and $a_{5}$ into the equation.
$a_{} =32 \times8$

STEP 7

Calculate the value of $a_{7}$ .
$a_{7} =32 \times =256$ The next number that will appear in the sequence is256.

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QuestionWhat is the next number in the sequence? 1,2,2,4,8,32,?1, 2, 2, 4, 8, 32, ?1,2,2,4,8,32,?

Studdy Solution

STEP 1

Assumptions1. The sequence is1,,,4,8,32. The sequence follows a certain pattern that we need to identify

STEP 2

Observe the sequence to identify a pattern.1,2,2,4,8,321,2,2,4,8,321,2,2,4,8,32

STEP 3

Notice that from the second number onwards, each number could be obtained by multiplying the previous two numbers.

STEP 4

Write down the multiplication rule that seems to be followed in this sequence.an=an−1×an−2a_{n} = a_{n-1} \times a_{n-2}an​=an−1​×an−2​where ana_{n}an​ is the nth term in the sequence.

STEP 5

To find the next number in the sequence, apply the multiplication rule to the last two numbers in the sequence.a7=a×a5a_{7} = a_{} \times a_{5}a7​=a​×a5​

STEP 6

Substitute the values of a6a_{6}a6​ and a5a_{5}a5​ into the equation.a=32×8a_{} =32 \times8a​=32×8

STEP 7

Calculate the value of a7a_{7}a7​.a7=32×=256a_{7} =32 \times =256a7​=32×=256The next number that will appear in the sequence is256.

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QuestionWhat is the next number in the sequence? $1, 2, 2, 4, 8, 32, ?$

Observe the sequence to identify a pattern. $1,2,2,4,8,32$

Write down the multiplication rule that seems to be followed in this sequence.
$a_{n} = a_{n-1} \times a_{n-2}$ where $a_{n}$ is the nth term in the sequence.

To find the next number in the sequence, apply the multiplication rule to the last two numbers in the sequence.
$a_{7} = a_{} \times a_{5}$

Substitute the values of $a_{6}$ and $a_{5}$ into the equation.
$a_{} =32 \times8$

Calculate the value of $a_{7}$ .
$a_{7} =32 \times =256$ The next number that will appear in the sequence is256.