this question from arethmetic progression
On 1st June 2016, Sarika decides to save ₹ 10. On First day, 11₹ on Second day,
12₹ on thirds day. If she decides to save like this, then on 31st December 2016.
What would be her total saving?
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Answer:
Sanika saved rs.70,455.
Step-by-step explanation:
Sanika saves rs.10 on the first day , rs.11 on
the second day , rs.12 on the third day , ...
so, 10 , 11 , 12, ... is a sequence.
The common difference d = 11-10 = 12-11 = 1
which is constant.
so, 10 , 11 , 12 , ... is an A.P.
Here, a = 10 and d = 1.
The year 2016 was a leap year.
A leap year has 366 days. so, n = 366.
The total saving in 366 days is S366
Sn = n/2[2a+(n-1)d]...( Formula )
so, S366 = 366/2[2×10+(366-1)×1]...( Substituting the values )
=183(20+365)
=183×385
so, S366 = 70455.
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