which term of an A.P 21,18,15-. is zero? Question which term of an A.P 21,18,15….. is zero? in progress 0 Math Amaya 1 month 2021-08-15T09:11:35+00:00 2021-08-15T09:11:35+00:00 2 Answers 0 views 0

## Answers ( )

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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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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