Geometric Series
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
Student preview
15 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What is a geometric series?
Back
A geometric series is the sum of the terms of a geometric sequence, where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
Tags
CCSS.HSA.SSE.B.4
2.
FLASHCARD QUESTION
Front
What is the formula for the sum of the first n terms of a geometric series?
Back
The formula is S_n = a_1 * (1 - r^n) / (1 - r), where S_n is the sum of the first n terms, a_1 is the first term, r is the common ratio, and n is the number of terms.
Tags
CCSS.HSA.SSE.B.4
3.
FLASHCARD QUESTION
Front
If a_1 = 4, r = -5, and n = 4, what is the sum of the first n terms?
Back
The sum is -416.
Tags
CCSS.HSA.SSE.B.4
4.
FLASHCARD QUESTION
Front
What is the common ratio in the sequence 3, 6, 12, 24, ...?
Back
The common ratio is 2, as each term is multiplied by 2 to get the next term.
Tags
CCSS.HSF.BF.A.2
5.
FLASHCARD QUESTION
Front
Calculate the sum of the first seven terms of the sequence 3, 6, 12, 24, ...
Back
The sum is 381.
Tags
CCSS.HSA.SSE.B.4
6.
FLASHCARD QUESTION
Front
What is the common ratio in the sequence 3, 15, 75, 375, ...?
Back
The common ratio is 5.
Tags
CCSS.HSF.BF.A.2
7.
FLASHCARD QUESTION
Front
Calculate the sum of the first three terms of the sequence 3, 15, 75, 375, ...
Back
The sum is 93.
Tags
CCSS.HSA.SSE.B.4
Access all questions and much more by creating a free account
Create resources
Host any resource
Get auto-graded reports
Continue with Google
Continue with Email
Continue with Classlink
Continue with Clever
or continue with
Microsoft
%20(1).png)
Apple
Others
Already have an account?
