Base case: For
, the left side is 2 and the right is
, so the base case holds.
Induction hypothesis: Assume the statement is true for
, that is

We want to show that this implies truth for
, that

The first
terms on the left reduce according to the assumption above, and we can simplify the
-th term a bit:


so the statement is true for all
.
total amount is $46.75 and if they split the cost it is $15.58
Answer:

Step-by-step explanation:



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Answer:
A holiday store is having a sale on bows and rolls of wrapping paper. One sign in the store states, "Buy 1 bow and 1 roll of wrapping paper for only $6.00." A second sign in the store states, "5 bows and 1 roll of wrapping paper will only cost $10.00."
Answer:$117 over 9 hours of work
Step-by-step explanation:
$156 over 12 and then divide those two numbers which gets you 13 now we know you earn $13 per hour. Now, divide 117 by 13 and gets you 9 therefor you earn $117 from 9 hours of work.