Question

What is the 17th term of the arithmetic sequence 17, 21, 25, … ?

Answer 1

nth term of an arithmetic sequence \(a_n\) is given as
\[a_n=a_1+(n-1)d\]
\[a_1 =\text{first term of the sequence}\]
\[d= \text{common difference}\]
What is \(a_1\) and \(d\) here?

Answer 2

a1= 17
d=4

Answer 3

We need to find the 17th term, so what is \(a_n\) here?
and what's n?

Answer 4

an is 17

Answer 5

Let's substitute these
\[a_{17}=a_1+(n-1)d\]
\[a_{17}=17+(17-1) \times 4\]
Can you solve this?

Answer 6

81

Answer 7

good:D Did you understand how we solved this?

Answer 8

yeah, kinda thank youu

Answer 9

@CCarmichael18 \[\large\mathcal{Welcome\ to\ Open\ Study\ :)}\]
If you ever need help here, do let me know:)