John was born in January. On the first July 4th of his life, his aunt gives him $50 to save for his college education.....?

John was born in January. On the first July 4th of his life, his aunt gives him $50 to save for his college education. On every subsequent July 4th, she gives him $25 dollars more than the previous year. What will John's aunt give him on his 18th July 4th?

A. $475 

B. $450 

C. $425 

D. $500

3 Answers

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  • 4 weeks ago

    a_n = 25 (n + 1) 

    a18 = $475

    A. $475

  • 1 month ago

    The sequence is arithmetic:

    50, 75, 100, ...

    You could just add terms until you get to 18 terms.

    Or you could use the formula for the nth term of an arithmetic sequence.

    a[n] = a + d(n - 1)

    a : first term (50)

    d : common ratio (25)

    n : number of terms (18)

    a[18] = 50 + 25(18 - 1)

    a[18] = 50 + 25(17)

    a[18] = 50 + 425

    a[18] = 475

    Answer:A. $475

  • 1 month ago

    DO YOUR OWN HOMEWORK..

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