1/3, 1, 1/6, 2
is this an arithmetic sequence? i have seen it in a grade 10 book, thanks
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.
Arithmetic sequence must be in increasing and deceasing value.