Find a20 of a geometric sequence of the first few terms of the sequence given by -1/2;1/4;-1/8;1/16

Step-by-step explanation:

Given

Required

Determine

Since it is a geometric sequence, first we need to calculate the common ratio (r)

From the sequence:

is the same as

So:

is then calculated as:

Where

Apply law of indices

Evaluate the exponent

22 and 22

step-by-step explanation:

10 plus 12 equals 22.

12 plus 10 also equals 22 because regardless of what order they're in, they're gonna equal the same thing.