SOLUTION: If 5, x, y, z, 405 are the first term of a GP , find the value of x, y, z.

Question 878901: If 5, x, y, z, 405 are the first term of a GP , find the value of x, y, z.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
In a GP (a geometric progression or geometric sequence) each term is equal to the previous multiplied times a constant often called the common factor and represented by .

MENTAL MATH (not showing the works of your quick mind):
The GP started with 5, and after multiplying times four times we get
so ,
which makes

SHOW YOUR WORK:
Teachers like to see formulas, and formulas are an efficient way to describe ideas and concepts. What you can think through in 5 seconds can be written in formulas in 5 minutes, while it would take much longer to write an explanation of the calculations in paragraph form. However, using formulas to communicate requires sharing a common symbolic language, and we may be used to different languages.
= first term of the GP.
= common ratio of the GP.
= term of the GP.

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