Type the missing number in this sequence: 2, 4, 8, _____, 32, 64

Identify Sequence Type: Is the given sequence geometric or arithmetic? Each term appears to be multiplied by a common ratio to obtain the next number. The given sequence is likely geometric. Find Common Ratio: Find the common ratio in the geometric sequence. Two consecutive terms are 2 and 4. 4 / 2 = 2 Common Ratio: 2 Multiply by Common Ratio: We multiply each term by the common ratio to get the next term. Sequence: 2, 4, 8, _____, 32, 64 Common Ratio: 2 Find the missing number in the sequence. The number before the missing term is 8. 8 * 2 = 16 Missing Number: 16Find Missing Number: Verify the found number by checking if the sequence continues correctly after the missing number. 16 * 2 = 32 The next term after the missing number is indeed 32, which matches the given sequence.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Type the missing number in this sequence: $\newline$ $2$ , $4$ , $8$ , $\_$ , $32$ , $64$

View step-by-step help

Home

Math Problems

Algebra 2

Find terms of a geometric sequence

Full solution

Q. Type the missing number in this sequence:

\newline

2

4

8

\_

32

64

Identify Sequence Type: Is the given sequence geometric or arithmetic? Each term appears to be multiplied by a common ratio to obtain the next number. The given sequence is likely geometric.
Find Common Ratio: Find the common ratio in the geometric sequence. Two consecutive terms are $2$ and $4$ . $\frac{4}{2} = 2$ Common Ratio: $2$
Multiply by Common Ratio: We multiply each term by the common ratio to get the next term. $\newline$ Sequence: $2, 4, 8, \_, 32, 64$ $\newline$ Common Ratio: $2$ $\newline$ Find the missing number in the sequence. $\newline$ The number before the missing term is $8$ . $\newline$ $8 \times 2 = 16$ $\newline$ Missing Number: $16$
Find Missing Number: Verify the found number by checking if the sequence continues correctly after the missing number. $\newline$ $16 \times 2 = 32$ $\newline$ The next term after the missing number is indeed $32$ , which matches the given sequence.