If the 9th term of an A.P. is zero then show that the 29th term is twi

1.	If the 9th term of an A.P. is zero then show that the 29th term is twice the 19n term
Answer» Let a and d respectively be the first term and common difference of the AP. Given a9= 0 So, a + (9-1)d = 0 a+8d=0 a= -8d Now, 29th term = a+28d =-8d+28d = 20d = 2 x 10d = 2(-8d + 18d) =2(a+18d) = 2 x 19th term Thus, the 29th term of the AP is twice the 19th term. please like the solution 👍 ✔️

If the 9th term of an A.P. is zero then show that the 29th term is twice the 19n term

Answer»

Let a and d respectively be the first term and common difference of the AP.

Given a9= 0

So, a + (9-1)d = 0

a+8d=0

a= -8d

Now, 29th term = a+28d

=-8d+28d

= 20d = 2 x 10d

= 2(-8d + 18d)

=2(a+18d)

= 2 x 19th term

Thus, the 29th term of the AP is twice the 19th term.

please like the solution 👍 ✔️