Question

A geometric sequence is represented by a Subscript n Baseline = a Subscript 1 Baseline r Superscript n minus 1. What is the fifth term of a geometric sequence where a Subscript 1 Baseline = 4,096 and the common ratio is Negative one-fourth?

Answer 1

this is the answer for edge 2020-2021

Explanation:

sum- -204.8

Answer 2

16

Explanation:

Given the nth term of a geometric sequence represented as
`Tn = a_1r^(n-1)`

`a_1` = first term of the sequence

n = number of terms

r = common ratio

Given
`a_1 = 4,096,\ r = -(1)/(4) , n = 5`(fifth term of the sequence)

`T_5 = 4,096(-(1)/(4) )^(5-1)\\ T_5 = 4,096(-(1)/(4) )^(4)\\T_5 = 4,096((1)/(256) )\\T_5 = 16`

The fifth term of the geometric sequence is 16