Question

find nth term of ap 18,16.5,15,....
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Answer 1

Step-by-step explanation:

Common difference = 16.5 - 18

= -1.5

nth term = 18 + (n -1)(-1.5)

= 18 -1.5n + 1.5

= 19.5 -1.5n

Thus the nth term is 19.5 - 1.5n

Answer 2

The nth term is 19.5 - 1.5n

Given :

The AP 18 , 16.5 , 15 , . . . .

To find :

The nth term of the AP

Concept :

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + ( n - 1 )d

Solution :

Step 1 of 2 :

Find the common difference

Here the given AP is 18 , 16.5 , 15 , . . . .

First term = a = 18

Second Term = 16.5

Common Difference

= d

= Second Term - First term

= 16.5 - 18

= - 1.5

Step 2 of 2 :

Find the nth term

The nth term

= a + ( n - 1 )d

= 18 + (n -1) × ( - 1.5)

= 18 -1.5n + 1.5

= 19.5 -1.5n

Hence the nth term is 19.5 - 1.5n

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