John does 5 pushups on the first day of a 30-day month, and then increases the number of pushups by 2 pushups a day. how many pu
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The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as
for any
, so the above is the same as
Similarly, we can write
Now it's a question of reducing the fraction as much as possible. We have so