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Geometric Sequences and Exponential Growth and Decay

Authored by Barbara White

Mathematics

11th Grade - University

CCSS covered

Geometric Sequences and Exponential Growth and Decay
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6 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which of the following graphs could be modelled using a geometric sequence?

A

B

C

D

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The fourth, fifth and sixth terms of a geometric sequence are 7.5, 3.75 and 1.875 respectively. The sum of the first and second terms in the geometric sequence is:

15

30

45

90

Tags

CCSS.HSF.BF.A.2

3.

FILL IN THE BLANK QUESTION

10 mins • 1 pt

A scientist observed that the population of a specific bird species is decreasing by 17% each year and that at the beginning of 2016, there were 483 birds. Predict the number of birds remaining at the beginning

of 2021.

Tags

CCSS.HSF.BF.A.2

4.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Use the recursive rule 𝑡n+1 = 0.65𝑡n, t1 = 120 to complete the following.

Calculate the percentage by which each term decreases

Tags

CCSS.HSF.BF.A.2

5.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

Use the recursive rule 𝑡n+1 = 0.65𝑡n, t1 = 120 to complete the following.

Calculate the fourth term rounded to the nearest whole number.

Tags

CCSS.HSF.BF.A.2

6.

FILL IN THE BLANK QUESTION

15 mins • 1 pt

P2 BONUS QUESTION: t3 = 90, t5 = 57.6. What is the first term (round answer to nearest whole number)?

Tags

CCSS.HSF.BF.A.2

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