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
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...
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