1.

(3) On 1st January 2016, Sanika decides to save Rs 10, Rs 1third day. If she decides to save like this , then on 31st December 2016, what would be her totalsavings?1 on the second day , Rs 12 on the

Answer»

On 1st Jan,She saved 10 Rs. Next Day 11 Rs. Next Day 12 rs

So money saved by her= 10 + 11 + 12 + 13 + .........................+ (till 31st Dec)

Now, Above Sum is the sum of a Arithmetic Progression witha = 10d = 1n = 366 ( since year 2016 is a Leap Year)

=>Sum of an A.P. = (n/2){ 2a + (n-1)d} = (366/2){ 20 + 365 } = 70455

So, she saved Rs. 70455 till the end of the year

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