Find the sum of the following arithmetic progressions: (i) , , , … to terms (ii) , , , , … to terms

In an A.P if first term is given by , common difference , and if no. of terms are n.

Therefore, sum of n terms of an A.P is given as:

(i) Given A.P. , , , to term.

First term (a)

Common difference (d)

Number of terms (n)

So, according to the formula,

 

(ii) Given: A.P , , , , …..to terms.

First term (a)

Common difference (d)

No. of term (n)

Therefore, sum of terms