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3 years ago

6, -12, 24, 8th term of geometric sequence

Mathematics

1 answer:

nordsb [41]3 years ago

5 0

Answer:

a₈ = - 768

Step-by-step explanation:

The nth term of a geometric sequence is

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

Here a₁ = 6 and r = $\frac{a_{2} }{a_{1} }$ = $\frac{-12}{6}$ = - 2 , then

a₈ = 6 × $-2)^{7}$ = - 6 × - 128 = - 768

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One-fifth of a number plus 51 is equal to twice the number plus 42.

AlladinOne [14]

Answer:

1/5x+51=2x+42

Step-by-step explanation:

1/5 of x, the number, plus 51 is equal to 2 times the number plus 42.

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3 years ago

Read 2 more answers

Which expression is equivalent to -7(y-2)

soldi70 [24.7K]

Hello!

Distributive property: a(b+c)=ab+ac

$a=-7, b=y, c=2$

$-7y-(-7)*2$

Minus and plus sign.

$-7y+7*2$

Then multiply by the numbers.

$7*2=14$

$\boxed{=-7y+14}$

Hope this helps!

Thanks!

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3 years ago

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Mariulka [41]

Answer:

x = -8

Step-by-step explanation:

Given the equation:

$27^x=9^{x-4}$

Note that

$27=3^3\\ \\9=3^2,$

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Rewrite the equation as

$3^{3x}=3^{2(x-4)},$

then

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3 years ago

A quadrilateral with 90 degree angles is shown. The lengths of the left and right sides are 10 and 2 y + 4. The lengths of the t

notka56 [123]

Answer: y=3

Step-by-step explanation:

Since the quadrilateral has 90 degree angles, it must be a a square or a rectangle. This means the measure of sides left and right are the same and the measure of sides top and bottom are the same.

To get the measure of y, you can use left and right or top nd bottom.

I'll use left and right. 10=2y+4 => 10-4=2y => 6=2y => y=3

You can check it by substituting. 2(3)+4=10 The answer is the measure of the right side, which is the same as the measure of the left side.

I hope this helps you!

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lianna [129]

Answer:

Step-by-step explanation:they are even

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3 years ago