Mastering Geometric Sequences and Series Sums

Mastering Geometric Sequences and Series Sums

11th Grade

10 Qs

quiz-placeholder

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Mastering Geometric Sequences and Series Sums

Mastering Geometric Sequences and Series Sums

Assessment

Quiz

English, Mathematics

11th Grade

Hard

CCSS
HSF.BF.A.2, HSA.SSE.B.4, HSF.LE.A.4

+1

Standards-aligned

Created by

Anthony Clark

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A population of bacteria doubles every 3 hours. If the initial population is 500, how many bacteria will there be after 12 hours?

10000

2000

8000

4000

Tags

CCSS.HSF.LE.A.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A car's value depreciates by 15% each year. If the car is currently worth $20,000, what will its value be after 4 years?

$12,500.00

$8,000.00

$10,440.12

$15,000.00

Tags

CCSS.HSF.BF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A bank offers an investment that pays 5% interest compounded annually. If you invest $1,000, how much will you have after 3 years?

1200.00

1157.63

1100.50

1050.75

Tags

CCSS.HSF.BF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A geometric sequence has a first term of 3 and a common ratio of 2. What is the 6th term of the sequence?

24

12

48

96

Tags

CCSS.HSF.BF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A tree grows 10% taller each year. If it is currently 5 meters tall, how tall will it be after 5 years?

12.5 meters

8.05 meters

6.5 meters

7.2 meters

Tags

CCSS.HSF.BF.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The sum of the first n terms of a geometric series is given by $S_n = \frac{a(1 - r^n)}{(1 - r)}$. If $a = 4$ and $r = 0.5$, what is the sum of the first 5 terms?

8.00

10.25

7.75

6.50

Tags

CCSS.HSA.SSE.B.4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A certain investment grows according to the formula $A = P(1 + r)^t$. If you invest $2,000 at an interest rate of 6% for 5 years, what will be the total amount?

2800.50

2500.00

2676.45

3000.00

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