Question

For what value of n the nth term of the AP: 74, 77, 80, and 14, 20, 26,... are
equal.
​​

Answer 1

Answer:

21 st

Step-by-step explanation:

Given,

AP1 : 74,77,80....          and      AP2 : 14,20,26....

a=74                                          a'=14

d=77-74=3                                 d'=20-14=6

ATQ:

$a_{n}$=$a_{n}$'

a + (n-1)d=a' + (n-1)d'

74 + (n-1)3 =14 + (n-1)6

60 + 3n-3 -6n +6=0

63=3n

n=21

thus for the 21 st term the nth term of the APs will be equal.

hope this helps:)