The nth term of a sequence is 3n+2

a) work outh the first three terms of the sequence

b) work out the tenth term of the sequence

An arithmetic sequence is a set of numbers with a common difference.

Given

The first three terms

When

When

When

So, the first three terms are 4, 7 and 10

The tenth term

When , we have:

Hence, the tenth term is 31

Read more about sequence at:

link

see explanation

Step-by-step explanation:

Given the n th term formula.

To find the first 3 terms substitute n = 1, 2, 3 into the formula

(a)

= (3 × 1) + 2 = 3 + 2 = 5

= (3 × 2) + 2 = 6 + 2 = 8

= (3 × 3) + 2 = 9 + 2 = 11

The first three terms are 5, 8, 11

(b)

Substitute n = 10 into the formula

= (3 × 10) + 2 = 30 + 2 = 32

The tenth term is 32

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!