Find the maximum value of the series 60, 58, 56, 54, 52.............
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50,48,46,44,42,40..................................4,2,0
It is 2 series
sureshmttl:
Nice
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Given:
60, 58, 56, 54, 52...
To find:
The maximum sum of the given series
Solution:
a = 60
d = -2
In order to find the maximum value of the sum, no negative term should be there as it will reduce the value.
a + (n-1)d > 0
60 -2n +2 > 0
n < 31
n = 30 (31st term is 0)
Sum of first 30 terms = n [2a + (n-1)d]/2
= 30 [120 - 58] / 2
= 930
Hence, the maximum value of the sum of the AP is 930.
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