Question

The first term of an arithmetic sequence is 4 and the tenth term is 67.
What is the common difference? Show your work or explain your answer.

Answer 1

It's an ARITHMETIC sequence. This is the big item in the question.

1) a
2) a+d
3) a + 2d
4) a + 3d
...
10) You tell me.

Answer 2

you got this or no?

Answer 3

no

Answer 4

tenth one is \[4+9d\] which you are told is 67, set \[4+9d=37\] and solve for \(d\) in two steps

Answer 5

tn=a+(n-1)d

Answer 6

oops i meant \[4+9d=67\] doh

Answer 7

subtract 4, divide by 9 to get your answer

Answer 8

Did you get your answer?
4 + 9d = 67
(Subtract by 4)
9d = 63
(divide by 9)
d = ?

Answer 9

Thank you everyone

Answer 10

!!