NCERT Class XI Mathematics - Sequences and Series - Solutions
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Question : 47
Total: 106
How many terms of G.P. 3, 3 2 , 3 3 , ... are needed to give the sum 120?
Solution:
Let n be the number of terms we needed. Here a = 3, r = 3, S n = 120
We knowS n =
, if |r| > 1
Then 120 = 3
⇒ 120 =
( 3 n − 1 )
⇒ 80 =3 n = 81 ⇒ 3 n = ( 3 ) 4
∴ n = 4
Hence, 4 terms are needed.
We know
Then 120 = 3
⇒ 80 =
∴ n = 4
Hence, 4 terms are needed.
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