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Arithmetic and Geometric Sequence Series Summation

Authored by Anthony Clark

Mathematics

12th Grade

CCSS covered

Arithmetic and Geometric Sequence Series Summation
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8 questions

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1.

FILL IN THE BLANK QUESTION

1 min • 3 pts

What are the next three terms of the arithmetic sequence below?

Tags

CCSS.HSF.BF.A.2

2.

MULTIPLE SELECT QUESTION

1 min • 2 pts

Media Image

The first four terms of a sequence are plotted on the given graph, where x represents the position in the sequence and y represents the actual terms of the sequence. Which of the following statements can be supported by the graph of this sequence?

The rate of change between the y-values of consecutive terms is a constant

The sequence is neither arithmetic or geometric.

The sequence is geometric and has a decay factor of 1/9

The sequence is arithmetic and has a common difference of -9.

3.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

The sum of the first n terms of an arithmetic series is -85.5. The first term of the series is -27/3 and the common difference is 1/2. How many terms are in the series?

16

17

18

20

4.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

What is the sum of the first 35 terms in an arithmetic series with the first term 18, common difference -12?

770

775

870

875

5.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Find the sum of the first 15 terms in a geometric series with the first term 81, 920 and the ratio 1/2.

32/3

5

18

1589/3

Tags

CCSS.HSA.SSE.B.4

6.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Find the sum of the first 20 terms in a geometric series with the first term 9 and the common ratio -1.

-20

20

15

415/2

Tags

CCSS.HSA.SSE.B.4

7.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Find the sum of the following series

2+4/3+8/9+16/27+ ...

So sum

6

-6

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