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Geometric Sequences and Ratios

Geometric Sequences and Ratios

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
HSF.BF.A.2

Standards-aligned

Created by

Amelia Wright

FREE Resource

Standards-aligned

CCSS.HSF.BF.A.2
The video tutorial explains how to determine the formula for the nth term of a geometric sequence. It begins by introducing the concept of geometric sequences and the importance of the common ratio. The tutorial then derives the formula for the nth term, considering whether the first term is a_0 or a_1. Two methods for finding the common ratio are discussed: analyzing the sequence and using the formula. The video concludes by applying the formula to find the nth term, using the common ratio determined earlier.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first term of the given geometric sequence?

320/81

9

5

49

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the second term of the sequence when n=1?

9

320/81

49

5

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to find the nth term when the first term is a_0?

a_n = a * R^n

a_n = a + R^n

a_n = a * R^(n-1)

a_n = a - R^n

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common ratio R in a geometric sequence?

The difference between terms

The product of terms

The factor by which each term is multiplied

The sum of terms

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you find the common ratio R using the sequence?

By adding terms

By subtracting terms

By multiplying terms

By dividing a term by the previous term

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the denominator of the common ratio R in the given sequence?

40

9

8

5

Tags

CCSS.HSF.BF.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the numerator of the common ratio R in the given sequence?

40

5

9

8

Tags

CCSS.HSF.BF.A.2

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