Question

the first term of an ap is a and the sum of first p terms is zero ,show that the sum of its next q terms is​

Answer 1

Answer:

Step-by-step explanation:

Given that-

Term of first term= a.

Sum of first p term=o ----(1)

Sum of q term=?.

Putting the value of first term in equation 1 :-

Sp =0,

Then, Sp=n/2{2a+(n-1)d}.

0=p/2{2×a+(p-1)d}.

0=p{2a+(p-1)d}.

0=2a+(p-1)d.

-2a=(p-1)d.

d= -2a/(p-1).

Then,

Sq=q/2{2a+(q-1)(-2a/p-1)}.

So,it solve your self,

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