Question

If you save two pennies on January 1, four pennies on January 2, six pennies on January 3, and continue this pattern for one year (not a leap year), what will be the value of your entire savings, in dollars, at the end of that one year? Express your answer as a decimal without commas.

Answer 1

well, you will have saved 730 pennies in the last day.

Answer 2

$1332.24 is this correct?

Answer 3

\[\large\sum_{k=1}^{365}0.02k=0.02+0.04+0.06+\cdots+7.30\]
Recall some useful formulas:
\[\large \sum_k ck=c\sum_k k\]
for constant \(c\), and
\[\large\sum_{k=1}^n=\frac{n(n+1)}{2}\]

Answer 4

@RussianBrain98 your answer is off by about a dollar and a half.