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Find the sum of first n terms and the s...

Find the sum of first n terms and the sum of first 5 terms of the geometric series
1 + `2/3`+`4/9``+.........`

Text Solution

Verified by Experts

`S_n` = `a(1−r^n)/(1-r)` = `1(1−(2/3)^n)/(1-2/3)`
`S_5` = `1(1−(2/3)^5)/(1-2/3)`
`S_5`= 3 (`211/243`)
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