Question

Find the nth term of the Ap 8,3,-2

Answer 1

Answer:

18-5n

Step-by-step explanation:

Given A.P is

13,8,3,−2,.....

first term of this A.P is a

1

=13

second term of this A.P is a

2

=8

common difference of an A.P is given by

(i.e.,d=a

n+1

−a

n

)

putting n=1 in above equation

d=a

2

−a

1

=8−13=−5

hence common difference for this A.P is d=−5

the nth term of an A.P is given by.

a

n

=a

1

+(n−1)d

⟹a

n

=13+(n−1)(−5)

⟹a

n

=13−5n+5

⟹a

n

=18−5n