Question

find the general term of ap by x+ b,x3b,x+5b

Answer 1

(I method)

The Given Series : x+b, x+3b, x + 5b,...

This is an A.P.

∴ First Term, a = x+b

Difference, d = x+3b - (x+b) = x+3b - x-b= 2b

Now, The General Term ,

= a+(n-1)d

= x+b+(n-1)2b

= x+b+(2n-2)b

= x+b(1+2n-2)

= x+b(2n-1)


or. (II method)


a = x+b d = second term - first term

= x +3b -x - b

= 2b

tn = a + (n-1)d

= x+b+(n-1)2b

= x +b+2nb-2b

= x-b+2nb

= x+b(2n-1)

Hope this will help you.... ✌