## Find the explicit formula for the given sequence. -4, 12, -36, 108

Question

Find the explicit formula for the given sequence.
-4, 12, -36, 108

in progress 0
2 weeks 2021-09-12T07:23:47+00:00 1 Answer 0

1. The required explicit formula is ### Solution:

Given that sequence is -4, 12, -36, 108

To find: explicit formula

Explicit formulas define each term in a sequence directly, allowing one to calculate any term in the sequence

An explicit formula designates the nth term of the sequence, as an expression of n (where n = the term’s location). It defines the sequence as a formula in terms of n.

Let us first find the logic used in sequence So we can see clearly that next term in sequence is obtained by multiplying -3 with previous term

This can be defined in terms of “n” Where represents the next terms location and represents previous term location

So the required explicit formula is Let us verify our explicit formula

Now let us find the 4th term of sequence  Thus using the explicit formula, next terms in sequence can be found