What is the 30th term of the arithmetic series 4, 7, 10, … ?

Step-by-step explanation:

Given : an arithmetic sequence 4, 7, 10,....

We have to find the 30th term of the given arithmetic series.

Consider the given arithmetic sequence 4, 7, 10,....

Here,

We first find the common difference (d),

Since, the difference between the terms are same so the common difference is 3.

The formula for the general term in an arithmetic series is given by

Where , n is the number i=of the term,

a is first term

d is common difference,

Since, we have to find the 30 th term,

So put n = 30 , d = 3  , a= 4

We have,

Simplify, we have,

Thus,