121k views
2 votes
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?

2 Answers

5 votes

Answer:

this is the answer for edge 2020-2021

Explanation:

sum- -204.8

A geometric sequence is represented by a Subscript n Baseline = a Subscript 1 Baseline-example-1
User Suyog
by
7.8k points
2 votes

Answer:

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

User Georgeok
by
7.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories