Question

The $n^{th}$ term of a sequence is 8 - 5n . Show that the sequence is an A. P.

Answer 1

Put n=1 in 8-5n
8-5=3
Put n=2
8-10=-2
Put n=3
8-15=-7
Now -7-(-2)=-2-3
-5=-5
Hence d ( common difference is same)
So the sequence given is in A. P.