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25 April, 14:44

Brad puts an equal amount of money in his savings account once a month. He started with $27. The next month he had $44 in his account. Two months after that he had $78 in his account. How much money will brad havr in his account after 6 months?

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  1. 25 April, 16:47
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    Answer: brad will have $112 in his account after 6 months.

    Step-by-step explanation:

    Since he puts equal amount of money in his savings account once a month, the rate at which the money is increasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

    Tn = a + (n - 1) d

    Where

    a represents the first term of the sequence.

    d represents the common difference.

    n represents the number of terms in the sequence.

    From the information given,

    a = $27

    d = 44 - 27 = 17

    n = 6 months

    We want to determine the value of the 6th term, T6. Therefore,

    T6 = 27 + (6 - 1) 17

    T6 = 27 + 85

    T6 = $112
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