Question

based on this problem

“Find the sum to infinity of each sequence, if it exists. 1/3,1/9,1/27,1/81,...

pick an information and state its use in daily conversations and exchanges, answer now plss :(((​

Answer 1

answer

S= 1/2

Explanation:

Formula for sum of infinite geometric series is

S_=a_1/(1-r) ; " " " " " -1 < r < 1

We have a geometric series :1/3 + 1/9 + 1/81+.........

First we know a_1= 1/3 (the first term)

Second: Identify r, we know r= a_2/a_1 or r= a_n/a_(n-1

r= (1/(9))/(1/3) hArr 1/9 *3/1 = 1/3

r= 1/3

Substitute into the formula

Soo= (1/3)/(1-1/3)

= (1/3) /(2/3)

=(1/3)*(3/2)

Soo= 1/2