Question

Find the next term of the geometric sequence:
2, 8, 32, 128 …

• A. 628
• B. 596
• C. 512
• D. 488

Answer 1

The correct option is C 512

The given sequence is 2, 8, 32, 128…

Let us divide each term in the sequence by the term preceding it:
$8÷2=4$
$32÷8=4$
$128÷32=4$

We observe that each term in the above sequence is 4 times the previous term.

The next term in the geometric sequence will be $4\times 128=512$.