Small challenge

[SlideRule]

(09-20-2017 08:05 PM)Joe Horn Wrote:  ... first payment is $250.12, and each month's payment after that is one penny less...

OR, skip the central payment ($ 250.00) with +12 above and -12 below, as in the following table:
$250.12
$250.11
$250.10
$250.09
$250.08
$250.07
$250.06
$250.05
$250.04
$250.03
$250.02
$250.01...∑ (1-12)=$3,000.78
$249.99
$249.98
$249.97
$249.96
$249.95
$249.94
$249.93
$249.92
$249.91
$249.90
$249.89
$249.88...∑ (13-24)=$2,999.22

therefore.∑ (01-24)=$6,000.00

I do like the approach, it has a simple elegance.

BEST!
SlideRule