Ratan wants to open a rd for the marriage of his daughter and he deposited the money in bank . according to the agreement hay deposited the money e rupees 100 ×n² every month.how much money he accumulated after 15 months
Answers
Given : deposited the money rupees 100 × n² every month
n represent number of month
To Find : money accumulated after 15 months
Solution:
Amount deposited on 1st month = 100 × 1²
Amount deposited on 2nd month = 100 × 2²
Amount deposited on 15th month = 100 × 15²
Total Amount Deposited
= 100 × 1² + 100 × 2² + . + . + . + . + 100 × 15²
= 100 ( 1² + 2² + . + . + . + . + 15² )
= 100 ∑n² ( n from 1 to 15)
∑n² = n(n + 1)(2n + 1)/6
n = 15
= 15(16)(31)/6
= 1240
Total Amount Deposited = 100(1240)
= 124000
money accumulated after 15 months = 124000
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