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defon
4 years ago
13

Write a RECURSIVE and EXPLICIT model for the following geometric sequence. 3, 15, 75, 375, 1875, ...

Mathematics
1 answer:
alekssr [168]4 years ago
4 0

Answer:

Step-by-step explanation:

Common ratio (r) = 2nd term / 1st term = 15/3 = 5

Recursive formula:

a_{n}=a_{n-1}*r \\\\a_{n}=a_{n-1}*5\\=5a_{n-1}

Explicit formula:

a = first term = 3

a_{n}=ar^{n-1}\\\\a_{n}=3*(5)^{n-1}\\

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Answer:

It is similar in that you have to move everything to one side and get rid of coefficients on the variable.

It is different in that you aren't solving for the actual numerical value of the variable and are just solving in terms of other variables.

Step-by-step explanation:

One step equations and literal equations both are similar because you have to move everything to the other side to isolate the variable, and also divide or multiply to get rid of any coefficients on the variable to solve it.

However, they are different because one-step equations actually need you to solve for the numerical value of the variable. On the other hand, literal equations aren't solved completely and are not numerical answers, it is just the variable solved in terms of other variables.

4 0
3 years ago
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3 years ago
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Step-by-step explanation:

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3 years ago
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I need to figure this out cause idk.
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