Question

which of the term of the A.P. 72, 63, 54,........ is 0?

Answer 1

72-9= 63
63-9= 54
54-9= 45

as per the numbers above the difference between the numbers is 9 so 0 is not applicable there

Answer 2

9th term of the term of the A.P. 72, 63, 54, . .. . is 0

Given :

The A.P. 72 , 63 , 54 , . .

To find :

The term which is 0

Solution :

Step 1 of 2 :

Find first term and common difference

Here the given AP is 72 , 63 , 54 , . .

First term = a = 72

Common Difference = d = 63 - 72 = - 9

Step 2 of 2 :

Find the term which is 0

Let nth term of the AP is 0

By the given condition

a + ( n - 1 )d = 0

⇒ 72 - 9(n - 1) = 0

⇒ 72 - 9n + 9 = 0

⇒ 81 - 9n = 0

⇒ - 9n = - 81

⇒ n = 9

9th term of the term of the A.P. 72, 63, 54, . .. . is 0

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