Which of the following sequences is NOT arithmetic?(A) -4, 2, 8, 14, ..., (B) 9, 4, -1, -6, ... (C) 2, 4, 8, 16,... (D)frac{1}{3},1*frac{1}{3},2*frac{1}{3},3*frac{1}{3}',...

Sinead Mcgee 2021-01-10 Answered

Which of the following sequences is NOT arithmetic?
(A) -4, 2, 8, 14, ...,
(B) 9, 4, -1, -6, ...
(C) 2, 4, 8, 16,...
(D)13, 1×13, 2×13, 3×13',...

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Expert Answer

au4gsf
Answered 2021-01-11 Author has 95 answers

An arithmetic sequence contain a constant common difference between each term. To find the common difference, we can subtract the first term from the second term. Doing this, we found that only C does not have a constant common difference, hence making it not an arithmetic sequence.
Let d = common difference
A) 148=6
82=6
2(4)=6
d=6
B) 6(1)=5
14=5
49=5
d=5
C) 168=8
84=4
42=2
d=does not exist
D) 3×132×13=1
2×131×13=1
1×1313=1
d=1
Result: Choice C

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