Question

Write the rule for the following arithmetic sequence:

33, 24, 15, 6....

Answer 1

Option (4)

Explanation:

The given arithmetic sequence is 33, 24, 15, 6........

First term of this sequence = 33

Common difference =
`2^{\text{nd}}` term -
`1^{\text{st}}` term

= 24 - 33

= -9

Explicit formula for an arithmetic sequence,

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

Here a = first term

d = common difference

n = number of term

By putting the values of variables in the formula,

`t_n=33+(n-1)(-9)`

= 33 - 9n + 9

= 42 - 9n

`t_n=-9n+42`

Therefore, Option (4) will be the answer.