NCERT Class XI Mathematics - Sequences and Series - Solutions

© examsnet.com
Question : 47
Total: 106
How many terms of G.P. 3, 32,33 , ... are needed to give the sum 120?
Solution:  
Let n be the number of terms we needed. Here a = 3, r = 3, Sn = 120
We know Sn =
a(rn1)
r1
, if |r| > 1
Then 120 = 3
(3n1)
31
⇒ 120 =
3
2
(3n1)

⇒ 80 = 3n = 81 ⇒ 3n = (3)4
∴ n = 4
Hence, 4 terms are needed.
© examsnet.com
Go to Question: