Question

in a district co-operative bank, Mr. surendra invested Rs.500 in 2001,Rs.1500 in 2002 , Rs.2500 in 2003.if he keeps on investing in the bank upto 2020 in the same manner, how much investment will there be in his account at the end of 2020

Answer 1

Answer:

Total investment at the end of 2020 will be Rs. 200000.

Step-by-step explanation:

Mr Surendra is investing the money from year 2001 to 2020 which is in the form of a sequence,

500, 1500, 2500........20 terms

In this sequence there is a common difference 'd' = 1500 - 500 = Rs 1000

Therefore, the sequence is an arithmetic sequence.

We have to find the sum of 20 terms of this sequence to find the investment at the end of 2020.

Sum of an arithmetic sequence is given by

$S_{n}=\frac{n}{2}[2a+(n-1)d]$

    = $\frac{20}{2}[2\times (500)+(20-1)\times 1000]$

    = 10[1000 + 19000]

    = Rs. 200000

Therefore, total investment by Surender at the end of year 2020 will be Rs. 200000.

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