Question

the genral term of an ap is always a dash expression while sum of an ap has dash

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Answer 1

Answer:

Given terms in AP are x+b,x+3b,x+5b,..

Let ‘a’ be the first term and ‘d’ the common difference of an Arithmetic Progression.

Then its general term (n

th

term) = t

n

=a+(n−1)d

In the given A.P., first term a=x+b

and common Difference d=(x+3b)−(x+b) =2b

Then, general term (n

th

term) is

t

n

= (x+b)+(n−1)2b

= x+b+2nb−2b = x+2nb−b

Finally, t

n

= x+(2n−1)b