Question

Write the rule for the following arithmetic sequence:

33, 24, 15, 6....

Answer 1

Answer:

Option (4)

Step-by-step 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.