We have to represent the fraction in two different ways.
Let us multiply the numerator and denominator of the given fraction by '2'.
Therefore,
Therefore, is the first way to represent the given fraction.
Now, Let us multiply the numerator and denominator of the given fraction by '3'.
Therefore,
Therefore, is the second way to represent the given fraction.
Therefore, and
are the different ways to represent the fraction
.
9514 1404 393
Answer:
sum = ∑[n=1,5] 4^(n-4)
Step-by-step explanation:
First of all, you need to be able to describe the n-th term.
Here, we have ...
term #: 1, 2, 3, 4, 5
value: 4^-3, 4^-2, 4^-1, 4^0, 4^1
That is, the exponent of 4 is 4 less than the term number. So, the n-th term is 4^(n-4). The sum of the 5 terms shown is then ...