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3 years ago

Create an explicit formula of the sequence. 7, 14, 28, 56, .... Find the 10th term of the sequence. Complete your work in

Mathematics

1 answer:

OlgaM077 [116]3 years ago

3 0

Answer:

3584

Step-by-step explanation:

These are the terms of a geometric sequence with n th term

$a_{n}$ = a $(r)^{n-1}$

where a is the first term and r the common ratio

r = 14 ÷ 7 = 28 ÷ 14 = 56 ÷ 28 = 2 and a = 7, thus

$a_{10}$ = 7 $(2)^{9}$ = 7 × 512 = 3584

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Find the solution of 3 times the square root of the quantity of x plus 6 equals negative 12, and determine if it is an extraneou

Anna35 [415]

For this case we have the following equation:
$3 \sqrt{x+6}=-12$
Rewriting we have:
$\sqrt{x+6}= \frac{-12}{3}$
$\sqrt{x+6}=-4$
We raise both members of the equation to the square:
$(\sqrt{x+6})^2=(-4)^2$
Rewriting we have:
$x+6=16$
$x=16-6$
$x=10$
It's a extraneous solution because equality is not met by substituting x = 10 in the original equation:
$3 \sqrt{10+6}=-12$
$3 \sqrt{16}=-12$
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Answer:
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3 years ago

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natulia [17]

Answer:

$= - {m}^{2} - 3n + 13$

Step-by-step explanation:

$- (m \times m + 3n - 13)$

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$- ( {m}^{2} + 3n - 13)$

$= - {m}^{2} - 3n + 13$

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3 years ago

The surface area S , of a right rectangular prism with length l , width w ,and height h can be found using the formula below

Yakvenalex [24]

First, replace all variables with the given values.
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3 years ago

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inna [77]

Answer:

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