october34 october34

03-10-2018
Mathematics

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what is the sum of the first 23 terms of the series 44+39+34+29+24

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MollieToliver MollieToliver

03-10-2018

The series is A.P. with first term = 44 and common difference = 39-44=-5 = 34- 39

Sum of A.P. is S = n/2(2a+ (n-1)d)

Where a is first term ,d is common difference and n no. Of terms

Here a = 44 ,d= -5 and n = 23

S = 23 /2(2×44+ (23-1)(-5))

S=23/2(88-110)

S = 23/ 2(-22)

S = 23×-11

S = -253

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