Question

if the nth term of an ap is 3n-8 find its 16th term​

Answer 1

Answer:

The 16th term of an AP is 40.

Step-by-step explanation:

The nth term of AP is computed using the formula:$T_{n}=a+(n-1)d$

The nth term is given as (3n - 8).

$T_{n}=a+(n-1)d\\3n-8=a+(n-1)d\\a=3n-(n-1)d-8$

The 16th term is:

$T_{n}=a+(n-1)d\\=3n-(n-1)d-8+(n-1)d\\=3n-8\\T_{16}=(3\times16)-8\\=40$

Thus, the 16th term of an AP is 40.

Answer 2

Step-by-step explanation:

yes,the pattern is in A.P as 3n-8 can be written as 5+3[n-1]

which is in the form of a+[n-1]d

here a=5, b=3

the 16th term is =[3×16]-8

=48-8

=40

Hope so this answer helps you to solve the problem