Question

find the sum of first nth term of AP is 6,2,-2 fill ups ​

Answer 1

Answer:

Ans.

given the sequence which is defined by.

a

n

=6n+2.....eq(1)

and we know that nth term of an A.p is given by

a

n

=a

1

+(n−1)d

which can also be written as

a

n

=a

1

−d+nd.....eq(2)

comparing eq(1) and eq(2) we get

common difference is

d=6 (by comparing coefficients of n)

and

a

1

−d=2

by putting value of d=b in above equation we get

a

1

−6=2

⟹a

1

=8 (first term of A.P)

hence if a and b are real numbers this sequence form an A.P with first term a

1

=8

and have a common difference d=6