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defon
3 years ago
13

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

Mathematics
1 answer:
alekssr [168]3 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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