Question

I’m really bad at the nth term, can anyone help me figure out the nth term of this sequence: 7,10,13,16,19 ...

Answer 1

`a_(n)` = 3n + 4

Explanation:

The terms of the sequence form an arithmetic sequence with n th term

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

where a is the first term and d the common difference

d = 10 - 7 = 13 - 10 = 3 and a = 7, hence

`a_(n)` = 7 + 3(n - 1) ← distribute and simplify

= 7 + 3n - 3 , hence

`a_(n)` = 3n + 4

Answer 2

so the answer is 31

Explanation:

well first you have to see how much it increases each time

_____________________________________________

so that would be three

_____________________________________________

so

7_10_13_16_19_22_25_28_31

1 2 3 4 5 6 7 8 9