Question

Find the 30th term of an ap 5,8,11,14

Answer 1

Answer:

here is the ans to your questions

Answer 2

Given,

A.P. = 5,8,11,14

To Find,

The 30th term =?

Solution,

We can solve the question as follows:

It is given that an A.P. is 5, 8, 11, 14. We have to find the 30th term.

$A.P. = 5,8,11,14$

The nth term of an A.P. is given as:

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

Where,

$a = First\: term$

$n = nth\: term$

$d = Common\: difference$

From the question,

$a = 5$

$n = 30$

The common difference is equal to the difference between two consecutive terms.

$d = 8-5 = 3$

Substituting the values in the above formula,

$T_{30} = 5 +(30 - 1)3$

      $= 5 + 29*3$

      $= 5 + 87$

      $= 92$

Hence, the 30th term is equal to 92.