Question

which term of the A.P 21, 18, 159... is-81? state with reason is there any term 0 in this AP?​

Answer 1

Answer:

35th term is -81 , 8th term is 0

Step-by-step explanation:

Here, a = 21, d = 18 – 21 = – 3 and an = – 81,

and we have to find n.

As an = a + ( n – 1) d,

we have – 81 = 21 + (n – 1)(– 3)

– 81 = 24 – 3n

– 105 = – 3n

So, n = 35

Therefore, the 35th term of the given AP is – 81.

Next, we want to know if there is any n for which

an = 0.

If such an n is there,

then 21 + (n – 1) (–3) = 0

i.e., 3(n – 1) = 21

i.e., n = 8

So, the eighth term is 0.

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