Question

find n so that the nth term of the following two arimetic sequence are the same 1,7,13,19......and 100,95,90

Answer 1

from 1st A.P
a=1 ,d=7-1=6

,From 2nd A.P.

a=100. d=95-100=-5

According to question......

An=a+(n-1)d
1+(n-1)6=100+(n-1)-5
1+6n-6=100-5n+5
6n+5n=105+5
11n=110
n=110/11=10
10th term of following sequence are same

Answer 2

Hi
from 1st A.P
a=1 ,d=7-1=6

,From 2nd A.P.

a=100. d=95-100=-5

According to question......

An=a+(n-1)d
1+(n-1)6=100+(n-1)-5
1+6n-6=100-5n+5
6n+5n=105+5
11n=110
n=110/11=10
10th term of following sequence are same
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