Question

The sequence $a_{n}$ = 5n + 3 is the same as the sequence $a_{1} = 8, a_{n} = a_{n-1} +5$

Answer 1

Answer:

True

Step-by-step 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