Alice is saving her chore money in a bank account. She makes a deposit of $13 in the first month. Then every month, she deposits $25. Alice forms a sequence of her account balance, An where n
refers to the number of months. Which of the statements are correct about this sequence?
Select all that apply.

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,

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

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

Recursive formula for the sequence will be,

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

where n = number of term

d = common difference

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

      = 13 + 225

      = 238

     = 188

      = 288

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

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step-by-step explanation: