1/3, 1, 1/6, 2

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

June 23, 2017 - 9:12am

#1
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

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No it is not.

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.