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
Jhun Vert's picture

No it is not.

Alexander
Alexander's picture

Arranged the numbers in increasing value: 1/6, 1/3, 1, 2. For this sequence to be an arithmetic sequence, the difference of any two terms (any term - preceding term) mus 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
ケネス ケネス's picture

Arithmetic sequence must be in increasing and deceasing value.

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