What is the missing term in this geometric sequence ..., -32, __, -128, ...?

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What is the missing term in this geometric sequence ..., -32, __, -128, ...?

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Answer 1 · 2016-12-06T06:26:02

$color(purple)(-64$ or $color(violet)(64$

Explanation:

A geometric sequence is a series in which the number succeeding the first number is got by multiplying the previous number with some fixed ratio, this ratio is known as the common ratio

$color(purple)(-32^(xx2),-64^(xx2),-128^(xx2)....$

The common ratio in this sequence is $2$

So,

$-32*2=color(purple)(-64$

And

$color(purple)(-64)*2=-128$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

But, the common ratio can also be $-2$ ans the missing number can be $64$

$color(violet)(-32^(xx-22),64^(xx-12),-128^(xx-2)....$

So,

$-32*-2=color(violet)(64$

And

$color(violet)(64)*-2=-128$

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What is the missing term in this geometric sequence ..., -32, __, -128, ...?

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