Question

If ten times the tenth term = five times the fifth term, prove that fifteenth term is zero

Answer 1

Step-by-step explanation:

a+9d=10th term

a+4d=5th term

10(a+9d)=5(a+4d)

10a+90d=5a+20d

5a=-70d

a=-70d/5=-14d ............. (1)

a+14d = 15th term

substitute equation 1 here.

So, -14d+14d=0

Hence, 15th term is zero.

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