SOLUTION: If i have a geometric sequence that goes 100,120,160,220... What would the ratio be?

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Question 1000556: If i have a geometric sequence that goes 100,120,160,220... What would the ratio be?
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

If you have a geometric sequence that goes ,,,,...
If a sequence of values follows a pattern of multiplying a fixed amount (not zero) times each term to arrive at the following term, it is referred to as a geometric sequence. The number multiplied each time is constant (always the same).
The fixed amount multiplied is called the common ratio, , referring to the fact that the ratio (fraction) of the second term to the first term yields this common multiple.
To find the common ratio, the term by the term.
the first term
the second term
so,


Answer by ikleyn(52792)   (Show Source): You can put this solution on YOUR website!
.
The sequence 100,120,160,220 . . . is NOT a geometric progression.

Because the ratio of the next term to the current term is not a constant value.

Indeed,

= 1.2,

= = 1.33(3) =/= 1.2.

Read the lesson on geometric progression in this site Geometric progressions.


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