An arithmetic sequence begins: 3,8,13,18...

what is the 61st term of the sequence?

I don't really understand how you can get this sequence...

Guest May 13, 2023

#2**+1 **

*An arithmetic sequence begins: 3,8,13,18... *

*what is the 61st term of the sequence? *

The sequence is, you add 5 to the previous number.

2^{nd} term, add 1 x 5 to 3

3^{rd} term, add 2 x 5 to 3

4^{th} term, add 3 x 5 to 3

So you see, for each n^{th} term, add (n – 1) x 5 to 3

For the 61st term, add (61 – 1) * 5 to 3

(60 * 5) + 3 = **303**

_{.}

Guest May 13, 2023