Consider a geometric sequence with a first term of 4 and a fourth term of -2.916. a) Find the common ratio of this sequence.
b) Find the sum to infinity of this sequence.

a) Find the common ratio of this sequence.

-0.82

b) Find the sum to infinity of this sequence.

2.2

Step-by-step explanation:

nth term in geometric series is given by

where

a is the first term

r is the common ratio and

n is the nth term

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given

a = 4

4th term = -2.196

let

common ratio of this sequence. be r

a) Find the common ratio of this sequence.

-0.82

sum of infinity of geometric sequence is given by = a/(1-r)

thus,

sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2

4x and 6y

im not sure though