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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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The general equation for exponential growth can be written as:
x_{t} = x_{0} (1+r)^{t}
where r is the growth rate.
Plugging in the given values, we get:
1100=1000(1+r)^{3}
Therefore
(1+r)^{3}=1.1
giving
1+r= \sqrt[3]{1.1} =1.0323
The predicted number of bacteria after 17 hours is given by:
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3 years ago
In the given diagram, find the values of x, y, and z.
SSSSS [86.1K]

Answer:

a. x = 36°, y = 36°, z = 34°

Step-by-step explanation:

X = 36° because x and 144° are supplementary angles and the sum of supplementary angles = 180°

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5 0
3 years ago
Tammy says the quotient of 793 ÷ 6 is 132 r1. Use multiplication to check Tammy's answer. × 6 + 1 = Tammy's answer is .
Troyanec [42]

To find the answer, we should multiply 132 by 6.

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7 0
3 years ago
Determine the greatest common factor of 28xy^9z and 32x^2y^7z
RSB [31]

Answer:

GCF = 4xy⁷z

Step-by-step explanation:

Do Prime Factorizations for each term and select only those terms common to each:

28xy⁹z = 2·2·7·x·y·y·y·y·y·y·y·y·y·z

32x²y⁷z = 2·2·2·2·2·x·x·y·y·y·y·y·y·y·z

GCF = 2·2·x·y·y·y·y·y·y·y·z

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True it will be true
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