Math, asked by anaswara23, 10 months ago

how many terms of an ap 65,60 ,55 ... be taken so that their sum =0

Answers

Answered by sharvanikulkarni

2

Answer:

27

Step-by-step explanation:

A P is 65,60,55,....

a=65

d=-5

Sn= 0

Sn=n/2[2a+(n-1) d]

0=n/2[2*65+(n-1)-5]

0=n/2[130-5n+5]

0=n/2(135-5n)

0=n/2 * 5(27-n)

0=5n/2 (27-n)

0=5n(27-n)

0=27-n or 0=5n

n=27 or n=0

but n=0 is not possible

so n=27

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