Question

How many terms of an AP 65,60,55,... be taken,so that their sum is 0 ?

Answer 1

Heya !!!




AP = 65 , 60 , 55




Here,




First term (A ) = 65




Common Difference (D) = 60-65 = -5




Sn = 0



N/2 × [ 2A + ( N-1) × D ] = 0



N × [ 2 × 65 + ( N-1) × -5 ] = 0 × 2





N ( 130 -5N + 5 ) = 0



130 - 5N + 5 = 0/N





135 - 5N = 0




-5N = -135



N = -135/-5





N = 27




Hence,



27 terms must be added to get the sum 0.




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Answer 2

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Your answer is given in the attachment

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