Find an equation for the nth term of the sequence.
{eq}-2, -8, -32, -128, ... {/eq}
Question:
Find an equation for the nth term of the sequence.
{eq}-2, -8, -32, -128, ... {/eq}
Sequence:
In this question, we have been given a sequence with all the rems negative. We shall think to change the terms of the given sequence to powers and exponents and then write the general term.
Answer and Explanation: 1
Given:
$$-2, -8, -32, -128, ...\\ $$
We see that:
$$-2^1,-2^3,-2^5,-2^7 $$
We see that the base is {eq}2 {/eq} and the power is an odd number.
The general term is:
$$T_n=-2^{2n-1} $$
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Understand the Formula for Infinite Geometric Series
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Chapter 21 / Lesson 11
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Learn how to use the sum of an infinite geometric series formula and how to evaluate infinite geometric series. See various infinite geometric series examples.
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