arithmetic sequences and series, algebra homework help

User Generated

algrnpue

Mathematics

Description

Accurately and completely answer the following questions. Double check for accuracy.


Find the next four terms in the arithmetic sequence.

9, 13, 17


19, 23, 27, 29

21, 25, 29, 33

19, 23, 29, 31

18, 19, 20, 21

===================

Find the next four terms in the arithmetic sequence.

0, -3, -6


-6, -3, 0, 3

-10, -13, -16, -20

-9, -12, -15, -18

-3, 0, 3, 6

==================

Find the 20th term in the arithmetic sequence shown below.

-10, -8, -6, -4


28

30

38

48

==========

Find the 100th term in the arithmetic sequence shown below.

16, 12, 8, 4


412

-380

-412

-396

===========

Find three arithmetic means between 16 and 32.


20, 24, 28

20, 25, 30

18, 24, 30

48, 64, 80

==================

Use Sigma notation to represent the series below.

2 + 5 + 8 + 11 + 14 + 17

A.

B.

C.

D.


A

B

C

D

==================

Find the sum of the arithmetic series.


25

126

133

119

==================

Find a1 if d = 4, a20 = 82, and S20 = 880.


2

4

6

60

===========

Find a1 if d = 2.5, a15 = 33.5, and S15 = 240.


2.5

-1.5

-4

-2.5

=======================

Find the sum of the arithmetic series shown below.


11187

11300

11074

11211

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Explanation & Answer

The solutions are ready.

1. The common difference is 4 so the next items are 21, 25, 29, 33 (the second option).

2. The common difference is -3 so the next terms are -9, -12, -15, -18 (the third option).

3. The common difference is 2 and the first term is -10, 20-th term is
−10 + (20 − 1) ∙ 2 = −10 + 38 = 𝟐𝟖,
the first option.

4. The common difference is -4 and the first term is 16, 100-th term is
16 + (100 − 1) ∙ (−4) = 16 − 400 + 4 = −𝟑𝟖...


Anonymous
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