Question

Find the nth of each sequence a1 = 8,d = 3,n n = 16

Answer 1

16th term of the given sequence is 53.

Explanation:

Here, the first term (a 1) = 8

Common Difference (d) = 3

n = 16

Now in ARITHMETIC PROGRESSION:

The nth term of any sequence is given as
`a_(n) = a+ (n-1)d`

⇒ a 16 is given as:

`a_(16) =  8 + (16-1)3\\\implies a_(16) = 8 + 15(3)  = 8 + 45 = 53\\`

⇒ a (16) = 53

Hence, 16th term of the given sequence is 53.