Question

which term of an A.P 21,18,15..... is zero?​

Answer 1

Answer:

8th term

Step-by-step explanation:

The AP: 21, 18, 15……

The first term of the AP, a = 21

The common difference, d = 18–21 = -3

nth term of the AP= a+(n-1)*d

Let the xth term of the AP to be zero.

So, a+(x-1)d = 0

or, 21 + (x-1)*(-3)=0

or, 21 - 3x +3 =0

or, 3x =24

Or, x=8.

Ans. The 8th term of the AP is 0.

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Answer 2

Answer:

8th

Step-by-step explanation:

Let the nth term be 0

a = 21

d = - 3

Tn = a + ( n - 1)d

> 0 = 21 + ( n - 1) ( - 3)

> - 21 = ( n - 1) ( - 3)

> n - 1 = - 21/-3

> n - 1 = 7

> n = 7 + 1

> n = 8

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