Question

What is the rule for the following geometric sequence? 64, -32, 16, -8...

Answer 1

If we look at the numbers carefully, every successive number is half of the number before it. 32 is half of 64, 16 is half of 32 and so on. This means to get the next number we need to divide the previous number by 2. So the next term will be : 8 divided by 2 or half of 8 = 4.


hope this helps kiddo!

Answer 2

The rule for this geometric sequence is that the number is being halved each time. This can be expressed as a general rule as follows: an = a1 * (1/2)^n-1 , where a1 is the first term, n is the number of the term in the sequence, and an is the nth term. Therefore, the nth term of this sequence is an = 64 * (1/2)^n-1.

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