Advertisements
Advertisements
Question
For a GP, if Sn = `(4^"n" - 3^"n")/3^"n"`, then t2 = _______.
Options
`1/9`
`2/9`
`7/9`
`4/9`
MCQ
Fill in the Blanks
Solution
For a GP, if Sn = `(4^"n" - 3^"n")/3^"n"`, then t2 = `underline(4/9)`.
Explanation:
We have, Sn = `(4^"n" - 3^"n")/3^"n"`
For n = 1, S1 = t1 = `(4 - 3)/3 = 1/3`
For n = 1, S2 = t1 + t2 = `(4^2 - 3^2)/3^2 = 7/9`
`"t"_2 = 7/9 - "t"_1`
`= 7/9 - 1/3`
`= (7 - 3)/9 = 4/9`
shaalaa.com
Is there an error in this question or solution?
