Find the future value of an ordinary annuity of $50 paid quarterly for 5 years, if the interest rate is 6%, compounded quarterly. (round your answer to the nearest cent.)

$1156.18

The future value (FV) is given from the payment (P), the interest rate (r) and the number of years (t) by ...

... FV = P·((1 +r/4)^(4t) -1)/(r/4)

... = (50)·(1 +.06/4)^(4·5) -1)/(.06/4)

... = 50·(1.015^20 -1)/.015 ≈ 1156.18

The future value is $1156.18.

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18