Home › CBSE Class 11 (Commerce) › Mathematics › Sequences and Series › A G.P. with first term 5 and ratio 2 has sum 315…
A G.P. with first term 5 and ratio 2 has sum 315. How many terms does it have?
A5
B6
C7
D8
Answer & Solution
Correct answer: B. 6
Sn = 5(2^n - 1) = 315 gives 2^n = 64, so n = 6.
Related questions
In the sequence of primes 2, 3, 5, 7, ..., which prime comes next?For a finite A.P., the mean value of the terms equals the mean of which values?The terms of a geometric series are also said to be in continued what?Books VIII and IX of whose Elements analyse geometric progressions?Which economist used the contrast between G.P. and A.P. growth for population ideas?What happens to the terms of a G.P. whose common ratio is negative?In a G.P. with common ratio of absolute value below 1, the terms approach what?Arithmetic progressions show which type of growth or decline?