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ICSE Class 10 Answered

Topic : Geometric Progression If S subscript n = 3(4 to the power of n - 1), show that it is a GP. Find its first term and the common ratio.
Asked by Pankaj | 26 Sep, 2018, 06:57: AM
answered-by-expert Expert Answer
Given that
Sn = 3(4n - 1)
For n = 1 we get a = t1 = 3 ×  3 = 9
For n = 2 we get S2 = 3 × (16 - 1) = 45
As S2 = a + t2 = 45
9 + t2 = 45
t2 = 36
For n = 3 we get S3 = 3 × (64 - 1) = 189
45 + t3 = 189
t3 = 144
Given series is 9, 45, 144,.....
Where first term = a = 9 and common ratio = 36/9 = 4
Answered by Sneha shidid | 26 Sep, 2018, 09:47: AM

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