# Arithmetic sequence

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dan.and.yel
Arithmetic sequence

1/3, 1, 1/6, 2

is this an arithmetic sequence? i have seen it in a grade 10 book, thanks

Jhun Vert

No it is not.

Alexander

Arrange the numbers in increasing value: 1/6, 1/3, 1, 2. For a sequence to be arithmetic, the difference of two consecutive terms (any term - preceding term) must be equal. Let us check:

(a) 1/3 - 1/6 = 1/6
(b) 1 - 1/3 = 2/3
(c) 2 - 1 = 1

Since the difference of two adjacent terms are not equal, the given terms do not form into arithmetic sequence.

ケネス ケネス

Arithmetic sequence must be in increasing and deceasing value.

perfectveneer777

No. The sequence must be 1/3, 1/6, 1, 2.
a, a+d, a+2d, a+3d. Where a = 1/3, and d = 1/3.

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