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