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What is the name of the series that represents a function as a sum of powers of x?
Arithmetic series
Geometric series
Taylor series
Fill in the blank:
2 + 4 + 6 + 8 + 10+….. is an arithmetic series with a common difference of_____.
2
4
6
What is the formula for finding the sum of a geometric series?
Sn=a+(n−1)dSn=a+\left(n-1\right)dSn=a+(n−1)d
Sn=arnSn=ar^nSn=arn
Sn=a(1−rn)1−rSn=\frac{a\left(1-r^n\right)}{1-r}Sn=1−ra(1−rn)
_____________refers to a sum of terms arranged in a specific order.
Sum
Series
Sequence
What kind of series is used to approximate functions using polynomial terms?
Power series
In an arithmetic series, what is the common difference between consecutive terms?
The product of the terms
A fixed value
The sum of the terms
What type of series has a fixed ratio between consecutive terms?
Which formula is used to calculate the sum of an arithmetic series?
Sn=(n−1)dSn=\left(n-1\right)dSn=(n−1)d
Sn=(n−2)dSn=\left(n-2\right)dSn=(n−2)d
The geometric series 1 + 1/2 + 1/4 + 1/8 + ... where the common ratio is
1/2
1/3
1/4
What well-known series is represented by the terms 1/2, 1/4, 1/8, 1/16, ...?
It is done.