What is a geometric series?

Understanding Geometric Series

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard

Sophia Harris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A series where each term is a constant multiple of the previous term.
A series where each term is a random number.
A series where each term is the sum of the previous two terms.
A series where each term is a constant addition to the previous term.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a geometric series, what does the base 'a' represent?
The sum of all terms in the series.
The common ratio between consecutive terms.
The difference between consecutive terms.
The number of terms in the series.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of subtracting the original series from the multiplied series in the derivation?
A series with all terms doubled.
A series with all terms halved.
A series with only the first and last terms remaining.
A series with all terms negated.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the sum of a geometric series from k=0 to n?
(a^(n+1) - 1) / (a - 1)
(a^n - 1) / (a + 1)
(a^(n-1) + 1) / (a - 1)
(a^(n+1) + 1) / (a + 1)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the formula for the sum of a geometric series be applied to find the sum of powers of 3 up to 3^10?
By using a = 3 and n = 10 in the formula.
By using a = 10 and n = 3 in the formula.
By using a = 3 and n = 11 in the formula.
By using a = 10 and n = 11 in the formula.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is required for an infinite series to converge?
The terms must be random.
The terms must decrease in size.
The terms must increase in size.
The terms must remain constant.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the terms of a geometric series with a base of 1/2 as the series progresses?
The terms double in size.
The terms remain constant.
The terms halve in size.
The terms become random.
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