Question

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

Answer 1

Answer: 61

Step-by-step 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