A good way of doing this problem would be to use cross multiplication of ratios
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Then cross multiply
(10 girls)(270 students)=(X girls)(18 students)
2700=18x
150=x
Suppose the three integers are x, x+2, and x+4
x+x+2+x+4=288
3x+6=288
3x=282
x=94
the three numbers are 94, 96, and 98
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
.
Answer:

Step-by-step explanation:
Given

--- scale factor
Required
Determine A'
This is calculated as:



