Question

if 5 times of the 5th term of ap is equal to 10 times the 10th term show that 15 term is zero​

Answer 1

Answer:

..

a= -14d. a+ (15-1)d = 0, which is 15th term.

Answer 2

Step-by-step explanation:

We know that the “n”th term of the arithmetic progression is given by a+(n−1)d

Given that the 10 times the 10th term is equal to 15 times the 15th term

Therefore, 10(10th term) = =15(15th term)

⟹ 10(a+(10−1)d)=15(a+(15−1)d)

⟹ 10(a+9d)=15(a+14d)

⟹ 10a+90d=15a+210d

⟹ 15a−10a=90d−210d

⟹ 5a=−120d

⟹ a=−24d ------(1)

The 25th term is a+(25−1)d=a+24d=−24d+24d=0

Therefore, the 25th term of the A.P. is zero.

I hope it will be helpful to you friend