Question

Find the term of term sequence-3,1,5,9...

Answer 1

Answer:

Solution

We know the sum of n terms of an A.P with first term a and the common difference d is:

S

n

=

2

n

[2a+(n−1)d]

Here, it is given that the first term is a=−3, common difference is d=1−(−3)=1+3=4 and n=17, therefore, the sum is:

S

n

=

2

17

[(2×−3)+(17−1)4]=

2

17

[−6+(16×4)]=

2

17

(−6+64)=

2

17×58

=17×29=493

Hence, the sum is 493