Alg 3 - Arithmetic Series

Alg 3 - Arithmetic Series

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF.BF.A.2

Standards-aligned

Created by

Wayground Content

FREE Resource

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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, n is the number of terms, a_1 is the first term, and a_n is the last term.

3.

FLASHCARD QUESTION

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula a_n = a_1 + (n-1)d, where a_1 is the first term, d is the common difference, and n is the term number.

Tags

CCSS.HSF.BF.A.2

4.

FLASHCARD QUESTION

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the constant amount that each term increases or decreases by in an arithmetic sequence.

Tags

CCSS.HSF.BF.A.2

5.

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 is 32.

Tags

CCSS.HSF.BF.A.2

6.

FLASHCARD QUESTION

Front

What is the sum of the first 10 even integers?

Back

The sum is 110.

7.

FLASHCARD QUESTION

Front

How do you calculate the sum of an infinite arithmetic series?

Back

An infinite arithmetic series does not converge; it diverges unless the common difference is zero.

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