The sequence a_(n) = 5n + 3 is the same as the sequence a_(1) = 8, a_(n) = a_(n-1) +5

Question

The sequence
`a_(n)` = 5n + 3 is the same as the sequence
`a_(1) = 8, a_(n) = a_(n-1) +5`

Answer 1

True

Explanation:

Given that in a sequence general term i.e. nth term is given by

`a_(n) =5n+3`

To find out the first term and pattern of term and compare with those given

TO find first term put n=1

`a=I term = 5+3=8`

Hence
`a_(1) =8`

Let us find
`a_(n) =5n+3\\a_(n-1) =5(n-1)+3=5n-2\\a_(n)-a_(n-1) =5\\\\a_(n)=a_(n-1) +5`

Hence both the statements are the same.

Or both sequences meant by two different conditions are one and the same