Question

What is the 25th term of this arithmetic sequence? 3, 9, 15, 21, 27, …

Answer 1

an = a1 + (n - 1)(d)
a1 = the first term in the sequence
d = common difference
n = term
a25 = 3 + (25 - 1)(6)
a25 = 3 + (24)(6)
a25 = 3 + 144
a25 = 147

Answer 2

25th Term of the Given Sequence is 147.

Explanation:

We are given with an arithmetic sequence: 3 , 9 , 15 , 21 , 27 , ...

We have to find 25th term of the sequence.

First term of the sequence , a = 3

Common difference of the sequence , d = 9 - 3 = 6

We know that nth term of Arithmetic Sequence is given as below,

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

So,

25th term of the sequence ,
`a_(25)=3+(25-1)6=3+24*6=3+144=147`

Therefore, 25th Term of the Given Sequence is 147.