Q12 of 110 Page 48

If ₹1000 is deposited in a bank which pays annual interest at the rate of 5% compounded annually, find the maturity amount at the end of 12 years.

∵ there is annual compounding interest



⇒ consecutive amounts are forming G.P.



Now,a12 = ?


∵ an = a1rn-1 (n = no. of term, a1 = first term of G.P, r = common ratio)





More from this chapter

All 110 →
10

Find the first three consecutive terms in G.P. whose sum is 7 and the sum of their reciprocals is

11

The sum of the first three terms of a G.P. is 13 and sum of their squares is 91. Determine the G.P.

 13

A company purchases an office copier machine for ₹50,000. It is estimated that the copier depreciates in its value at a rate of 15% per year. What will be the value of the copier after 15 years?

 14

If a, b, c, d are in a geometric sequence, then show that (a - b + c) (b + c + d) = ab + bc + cd.