Question

Find the thirty-second term of the following sequence. 9, 15, 21, ...

Which of the following equations is of a parabola with a vertex at (0, 6)?

Answer 1

The other answer didn't anmswer didnt answer, Which of the following equations is of a parabola with a vertex at (0, 6)?

ANswer: y = x^2 + 6

Answer 2

Let starting term, a = 9
Also let a =
`t_(1)`
So,
`t_(1)` = 9

`t_(2)` = 15

`t_(3)` = 21

`t_(2)` -
`t_(1)` = 6

`t_(3)` -
`t_(2)` = 6
∴ this is an arithmetic sequence.

We need to formulate a rule of the form:

`t_(n)` = a + (n - 1)d
where n = the
`n^(th)` term

So, let n = 32

`t_(32)` = 9 + (32 - 1)6
= 9 + 31 x 6
= 9 + 186
= 195

If I have calculated correctly, the 32nd term shoud be 195.