Question

Alice is saving her chore money in a bank account. She makes a deposit of $13 in the first month.

Answer 1

Answer:

Option (3) and Option (5)

Step-by-step explanation:

Alice invested $13 in the first month.

Then she deposits $25 every month.

Therefore, sequence formed by the deposit will be an arithmetic sequence.

First term of the sequence will be,

$A_1=13$

Since, recursive formula formula of a sequence is given by the formula,

$A_n=A_{(n-1)}+d$

Where 'd' = common difference in each term of the sequence

Recursive formula for the sequence will be,

$A_n=A{(n-1)}+25$

Since, explicit formula for the arithmetic sequence is represented by the formula,

$A_n=A_1+(n-1)d$

where n = number of term

d = common difference

Therefore, nth term of the sequence formed will be represented by the explicit formula,

$A_n=13+(n-1)25$

$A_{10}=13+(10-1)25$

      = 13 + 225

      = 238

$A_{8}=13+(8-1)25$

     = 188

$A_{12}=13+(12-1)25$

      = 288

Therefore, Option (3) and Option (5) will be the answer.