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3 years ago

What is the verbal expression of 1^8 y

Mathematics

1 answer:

tatyana61 [14]3 years ago

6 0

One to the power of eight y

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64, –48, 36, –27, ...<br><br> Which formula can be used to describe the sequence?

nordsb [41]

Answer:

$\boxed{a_n \: = \: 64 \: \times \: ( - \frac{3}{4} ) ^{n \: - \: 1} }$

Step-by-step explanation:

We first compute the ratio of this geometric sequence.

$r \: = \: \frac{ - 48}{64} \\ \\ r \: = \: \frac{36}{ - 48} \\ \\ r \: = \: \frac{ - 27}{36}$

We simplify the fractions:

$r \: = \: - \frac{3 }{4} \\ \\ r \: = \: - \frac{3 }{4} \\ \\ r \: = \: - \frac{3 }{4}$

We deduce that it is the common ratio because it is the same between each pair.

$r \: = \: - \frac{3 }{4}$

We use the first term and the common ratio to describe the equation:

$a_1 \: = \: 64; \: r \: = \: - \frac{3 }{4}$

<h3>We apply the data in this formula:</h3>

$\boxed{a_n \: = \: a_1 \: \times \: {r}^{ n \: - \: 1} }$

_______________________

<h3>We apply:</h3>

$\boxed {\bold{a_n \: = \: 64 \: \times \: {( - \frac{3}{4} )}^{ n \: - \: 1} }}$

<u>Data</u>: The unknown "n" is the term you want

<h3><em><u>MissSpanish</u></em></h3>

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2 years ago

How to express 24 divided by the difference of 8 and 2

SSSSS [86.1K]

You can express it as 24 / (8-2)

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3 years ago

In right triangle ABC, B = 51° and AB = 14. BC = _____

liq [111]

The final angle has an angle measure of 115 degrees.

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3 years ago

Find the value of the variable or the measure of the missing part of each kite BD=

nataly862011 [7]

Step-by-step explanation:

ED = EB

2x +3 = 5x -15

3+15=5x -2x

18 = 3x

18 ÷ 3 = x

x = 6

7 0

2 years ago

What is the volume of the cylinder below if radius is 11 and height is 15?

almond37 [142]

volume of cylinder = PI*r^2*h

r=11

h=15

using 3.14 for pi

3.14*11^2*15 = 5699.1 units^3

3 0

3 years ago