# 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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1/3, 1, 1/6, 2

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

- Log in to post comments

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## No it is not.

No it is not.

## Arranged the numbers in

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.

## Arithmetic sequence must be

Arithmetic sequence must be in increasing and deceasing value.

## No. The sequence must be 1/3,

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.