Math, asked by sri02, 1 year ago

find the sum to infinity of geometric series 2 + 2/3+2/9.....,...........

Answers

Answered by abhi178
5
2/1 + 2/(3)¹ + 2/(3)² + 2/(3)³+...............∞
here, first term (a) = 2
common ratio (r) = 2/3/2 = 1/3
use the formula
S_∞ = a/( 1 - r)
= 2/( 1 - 1/3)
= 2/(2/3)
= 3
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