Question

15. If the nth term of two APs are same, find
the value of n. Also find the nth term.
AP1: 8, 6, 4,....
AP2: 27, 24, 21,....​

Answer 1

Answer:

20

Step-by-step explanation:

for the first series

first term (a)= 8

common difference (d)=-2

Tn= a + (n-1)d

= 8+(n-1)-2

=8- 2n +2

=10-2n           (1)

for the second series

first term (a)= 27

common difference (d)=- 3

Tn=a+(n-1)d

=27+(n-1)-3

27 - 3n +3

30 -3n     (2)

by question (1)=(2)

30-3n=10-2n

30-10=3n-2n

20=n

hence the value of n is 20

Answer 2

n=20

an=-30

HOPE THIS WILL HELP YOU