Arithmetic Series
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Wayground Content
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Student preview
15 questions
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1.
FLASHCARD QUESTION
Front
What is an arithmetic series?
Back
An arithmetic series is the sum of the terms of an arithmetic sequence, where each term after the first is obtained by adding a constant difference to the previous term.
2.
FLASHCARD QUESTION
Front
What is the formula for the sum of the first n terms of an arithmetic series?
Back
The formula is S_n = n/2 * (a_1 + a_n), where S_n is the sum of the first n terms, a_1 is the first term, and a_n is the nth term.
3.
FLASHCARD QUESTION
Front
If the first term of an arithmetic series is 5 and the common difference is 3, what is the 10th term?
Back
The 10th term a_10 = a_1 + (n-1)d = 5 + (10-1)3 = 32.
4.
FLASHCARD QUESTION
Front
Evaluate the arithmetic series: 11 + 18 + 25 + 32..., S_7
Back
224
5.
FLASHCARD QUESTION
Front
Evaluate the arithmetic series: 0 - 7 - 14 - 21..., S_17
Back
-952
6.
FLASHCARD QUESTION
Front
If a_1 = 5 and a_n = 145, find S_15.
Back
1125
7.
FLASHCARD QUESTION
Front
Evaluate the arithmetic series: 28 + 38 + 48 + 58..., S_7
Back
406
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