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2 years ago

What are the next three terms of the geometric sequence 4, 24, 144, . . . ?

Mathematics

2 answers:

telo118 [61]2 years ago

7 0

864,5184,31104 are the next three terms in the geometric sequence

alexgriva [62]2 years ago

4 0

144x6=864....4th number
864x6=5164.....5th number
5164x6= 31104....6th number

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Does the expression 1.016x represent a percent increase greater than 12% if the original amount is x? How could I rewrite the ex

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Answer:

The expression $1.016x$ does not represent a percent increase greater than 12%.

Step-by-step explanation:

We are asked to find whether the expression $1.016x$ represent a percent increase greater than 12% if the original amount is x.

First of all, we will find 12% increase. The total amount after x% increase would be original amount plus 12% of original amount.

$\text{12 percent increase}=x+\frac{12}{100}x$

$\text{12 percent increase}=x+0.12x$

$\text{12 percent increase}=1.12x$

Since 1.12 is greater than 1.016, therefore, the expression $1.016x$ does not represent a percent increase greater than 12%.

We can rewrite $1.016x$ as:

$1.016x=1x+0.016x=x+0.016x$

Let us convert $0.016$ to percent by multiplying by 100.

$0.016\times 100\%=1.6\%$

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