PCH 8.3 Geometric Sequences & Series Practice

Authored by Kristen Bruning

Mathematics

9th - 12th Grade

CCSS covered

Used 5+ times

PCH 8.3 Geometric Sequences & Series Practice

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13 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the 10th term of the geometric sequence 6, -2, 2/3, ...

-\frac{2}{6561}

-.999

-512

$-\frac{256}{3}$

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the eighth term of a geometric sequence for which a₃ = 224 and r = -½.

-28

-112

-7

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given a geometric sequence where a₃ = 320 and a₆ = 20480, what is the common ratio?

6720

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The 3rd term of a geometric sequence is 16/3 and the 5th term is 64/27. Assuming r is positive, Find the 7th term of this sequence. Write the answer as a simplified fraction.

\frac{256}{243}

$\frac{4096}{19683}$

$-\frac{217}{729}$

$\frac{8}{243}$

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the sum $\sum_{n=1}^92\ ^{n-1}$

511

1022

-1024

Tags

CCSS.HSA.SSE.B.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Evaluate the sixth partial sum of the geometric series:
-2 - 10 - 50 - 250...,

-7812

-9678

-8686

-9932

Tags

CCSS.HSA.SSE.B.4

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find S₉ of the series: -380 + 665 - 1163.75 + 2036.5625 - ….. Round your final answer to the nearest tenths.

-21,409.45

-58,875.98

78,501.31

-33,426.28

Tags

CCSS.HSA.SSE.B.4

10.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Which of the following infinite geometric series will converge?

24 + 18 + 13.5 + 10.125 + ...

-50 + 75 - 112.5 + 168.75 - ...

$\sum_{i=1}^{\infty}3(-0.5)^i$

$\sum_{k=1}^{\infty}7(2)^{n-1}$

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PCH 8.3 Geometric Sequences & Series Practice

Find the 10th term of the geometric sequence 6, -2, 2/3, ...

Find the eighth term of a geometric sequence for which a₃ = 224 and r = -½.

Given a geometric sequence where a₃ = 320 and a₆ = 20480, what is the common ratio?

The 3rd term of a geometric sequence is 16/3 and the 5th term is 64/27. Assuming r is positive, Find the 7th term of this sequence. Write the answer as a simplified fraction.

Find the sum $\sum_{n=1}^92\ ^{n-1}$

Evaluate the sixth partial sum of the geometric series:
-2 - 10 - 50 - 250...,

Find S₉ of the series: -380 + 665 - 1163.75 + 2036.5625 - ….. Round your final answer to the nearest tenths.

A bouncing ball reaches heights of 16 cm, 12.8 cm, and 10.24 cm on three consecutive bounces. If the ball was originally dropped from 25 cm (a₁ = 25), how much total distance in the downward direction has the ball traveled after five bounces?

How do you know when an infinite geometric series will converge or diverge?

Which of the following infinite geometric series will converge?

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PCH 8.3 Geometric Sequences & Series Practice

Find the 10th term of the geometric sequence 6, -2, 2/3, ...

Find the eighth term of a geometric sequence for which a3 = 224 and r = -½.

Given a geometric sequence where a3 = 320 and a6 = 20480, what is the common ratio?

The 3rd term of a geometric sequence is 16/3 and the 5th term is 64/27. Assuming r is positive, Find the 7th term of this sequence. Write the answer as a simplified fraction.

Find the sum ∑n=192 n−1\sum_{n=1}^92\ ^{n-1}n=1∑9​2 n−1

Evaluate the sixth partial sum of the geometric series: -2 - 10 - 50 - 250...,

Find S9 of the series: -380 + 665 - 1163.75 + 2036.5625 - ….. Round your final answer to the nearest tenths.

A bouncing ball reaches heights of 16 cm, 12.8 cm, and 10.24 cm on three consecutive bounces. If the ball was originally dropped from 25 cm (a1 = 25), how much total distance in the downward direction has the ball traveled after five bounces?

How do you know when an infinite geometric series will converge or diverge?

Which of the following infinite geometric series will converge?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Find the eighth term of a geometric sequence for which a₃ = 224 and r = -½.

Given a geometric sequence where a₃ = 320 and a₆ = 20480, what is the common ratio?

Find the sum $\sum_{n=1}^92\ ^{n-1}$

Evaluate the sixth partial sum of the geometric series:
-2 - 10 - 50 - 250...,

Find S₉ of the series: -380 + 665 - 1163.75 + 2036.5625 - ….. Round your final answer to the nearest tenths.

A bouncing ball reaches heights of 16 cm, 12.8 cm, and 10.24 cm on three consecutive bounces. If the ball was originally dropped from 25 cm (a₁ = 25), how much total distance in the downward direction has the ball traveled after five bounces?