Arithmetic Sequences and Series Concepts

Arithmetic Sequences and Series Concepts

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Hard

CCSS
HSF.BF.A.2

Standards-aligned

Created by

Aiden Montgomery

FREE Resource

Standards-aligned

CCSS.HSF.BF.A.2
The video tutorial explains how to find the sum of the first 17 terms of an arithmetic series. It starts by identifying the given terms and using them to find the common difference. Then, it calculates the first term and uses the general formula to determine the 17th term. Finally, it computes the sum of the first 17 terms using the arithmetic series formula.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal of the problem discussed in the video?

To calculate the 20th term of the series

To find the first term of the series

To determine the sum of the first 17 terms

To find the common difference of the series

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What temporary assumption is made to find the common difference?

Assuming a sub 4 is a sub 1

Assuming a sub 17 is a sub 1

Assuming a sub 12 is a sub 1

Assuming a sub 1 is zero

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the common difference (d) calculated?

By dividing the difference of two terms by their indices

By subtracting the first term from the last term

By solving the equation derived from given terms

By adding the first and last terms

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which terms are given in the problem to help find the common difference?

a sub 5 and a sub 15

a sub 1 and a sub 17

a sub 2 and a sub 10

a sub 4 and a sub 12

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the nth term derived in the video?

a sub n = 5n + 6

a sub n = 5n - 6

a sub n = 6n + 5

a sub n = 6n - 5

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the common difference (d) in the series?

5

7

4

6

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first term (a sub 1) of the series?

0

1

2

3

Tags

CCSS.HSF.BF.A.2

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