help please! match the sequence (term) with the correct type of sequence (definition). term definition 2, 4, 6, 8, ... a. arithm
etic, common difference is -4 28, 24, 20, 16, ... b. geometric, common ratio is 2 2, 4, 8, 16, ... c. arithmetic, common difference is 2 48, 24, 12, 6, ... d. geometric, common ratio is 0.5
1 answer:
In an arithmetic sequence common difference will be constant. Common difference is the difference of next term to it's previous term. Like
common difference: d = Second term - first term.
Similarly in geometric sequence common ratio will be constant.
Common ratio = Second term / first term.
I have attached the table of correct match pair.
Hope this helps you!
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Since there are only 4 terms in the sum, it's not too much work to expand it as
Alternatively, we can use the well-known formulas
These sums start at n = 0, so in our given sum we will keep track of the 0-th term separately:
as expected.