Question

Find the nth term of the A.P. 18, 16.5, 15, 13.5​

Answer 1

Step-by-step explanation:

The Ap is 18,16.5,15,13.5

a=18,d=16.5-18=1.5

Tn=a+(n-1)d

Tn=18+(n-1)(-1.5)

18+1.5n+1.5

Tn=19.5+1.5

Answer 2

The nth term of the AP 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

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If for an A.P., S15= 147 and s14=123 find t 15

(A) 24 (B) 23 (C) 47 (D) 46

https://brainly.in/question/34324030

2. Insert there arithmetic means between -20 and 4

https://brainly.in/question/29887163