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Bobbi invests the money he has saved in an investment fund at the bank. The fund pays him interest each month according to the following sequence $0,$10,$20,$30,… meaning he received $0 in interest at month 0, $10 in interest after the first month, $20 in interest after the second month, and so on.

If f(n) represents the sequence, determine the amount of interest he will receive after 12 months.

Enter the value of f(n) at f(12).

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remotecontrolbrain

f(12) = $120

the interest B has received at month 12 is $120.

adioabiola

The value of f(12) which represents the amount of interest he will receive after 12 months is; $120.

Evidently, the sequence is an arithmetic progression;

As such, we must evaluate the common difference, d as follows;

  • d = f(2) - f(1)

  • d = 20 - 10

  • d = $10.

The first term, a = $10

Therefore; From the nth term formula for an arithmetic progression;

  • f(12) = $10 + 11 ($10)

  • f(12) = $10 + $110

  • f(12) = $120

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