How do you write three hundred six and four tenths in standard form?
2 answers:
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A sequence is arithmetic if the subtraction between any pair of consecutive terms is constant.
A sequence is arithmetic if the ratio between any pair of consecutive terms is constant.
Let's pick consecutive couples and check their difference and ratio:
First couple: first and second term
Difference:
Ratio:
Second couple second and third terms:
Difference:
Ratio:
So, we can see that the difference remained constant (is always 2), while the ratio isn't even defined. So, this is an arithmetic sequence.
As a corollary, you can see that a geometric sequence can never contain 0. Otherwise, when checking consective ratios, that 0 will eventually be a denominator and break the procedure.