Question

write a rule for the sequence -1, 2, 5, 8, 11, 14

Answer 1

This is an arithmetic sequence, because each term is 3 greater than the term before it.

Answer 2

rule for an arithmetic sequence is:

a + (n-1)d

a = first term
d = difference


In this sequence, the first term is -1, and the difference is 3.

So the general term will be:

-1 + (n-1)(3)

= -1 + 3n - 3

= = -4 + 3n

Answer 3

keep in mind, to find the common difference, take any terms, say the second and third term, and subtract the third term - second term... so 5 - 2 = 3.

Answer 4

You're welcome.