Arithmetic sequence

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Arithmetic sequence

1/3, 1, 1/6, 2

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

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Jhun Vert's picture
No it is not.

No it is not.

Alexander's picture
Arranged the numbers in

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's picture
Arithmetic sequence must be

Arithmetic sequence must be in increasing and deceasing value.

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