Question

200,195,190,185...,Find the nth term of the given AP.

Answer 1

a = 200

d = 192 - 200 = - 5

Tn = a + (n-1)d

= 200 + (n-1)(-5)

= 200 - 5n + 5

= 205 - 5n

Answer 2

Given A.P :

200, 195, 190, 185 ,....

First term ( a ) = 200 ,

common difference (d) = a2 - a1

=> d = 195 - 200 = -5

We know that ,

nth term ( an ) = a + ( n - 1 )d

= 200 + ( n - 1 )( -5 )

= 200 - 5n + 5

= 205 - 5n

Therefore ,

an = 205 - 5n

••••