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NCERT Class XI Mathematics - Sequences and Series - Solutions

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Question : 65 of 106
Marks: +1, -0
What will Rs. 500 amounts to in 10 years after its deposit in a bank which pays annual interest rate of 10% compounded annually?
Solution:  
We have, Principal value = Rs. 500
Interest rate = 10% annually
∴ Amounts at the end of successive years form the G.P.
Rs. 500 (1+10100)\left(1+\frac{10}{100}\right) , Rs. 500 (1+10100)2\left(1+\frac{10}{100}\right)^2 , Rs. 500 (1+10100)3\left(1+\frac{10}{100}\right)^3 , ...
∴ Amount paid by bank after 10 years will be
A = Rs. 500 (1+10100)10\left(1+\frac{10}{100}\right)^{10} = Rs. 500 (1.1)10(1.1)^{10}
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