Question

What is the 30th term of the arithmetic series 3, 5, 7, …?

Answer 1

Answer: 61

Explanation:

The nth term of an arithmetic sequence is calculated by :

`t_(n)` =
`a + (n-1)d`

where :

a = first term = 5

d = common difference = 2

n = number of terms

There, the 30th term will be

`t_(30)` =
`a + (30-1)d`

`t_(30)` =
`a + 29d`

`t_(30)` = 3 +29(2)

`t_(30)` = 3 + 58

`t_(30)` = 61