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Question

Find the next term of the geometric sequence:

2, 8, 32, 128…


A
628
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B
596
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C
512
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D
488
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Solution

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 = 4×128=512


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