Question

TRUE OR FALSE: The following is an arithmetic sequence.
1/2 , 1 , 3/2 , 2 ,...

Answer 1

Take each term, and subtract off the previous term


So

2 - 3/2 = ???

3/2 - 1 = ???

1 - 1/2 = ???

Answer 2

What do you get for each result?

Answer 3

0.5
1
0.5 ?

Answer 4

2 - 3/2 = 4/2 - 3/2 = (4-3)/2 = 1/2

So 2 - 3/2 = 1/2

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3/2 - 1 = 3/2 - 2/2 = (3-2)/2 = 1/2

So 3/2 - 1 = 1/2

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1 - 1/2 = 2/2 - 1/2 = (2-1)/2 = 1/2

which means 1 - 1/2 = 1/2

Answer 5

Notice how each difference is 1/2, so this tells us that this is an arithmetic sequence.

Answer 6

thank you! :)

Answer 7

yw :)