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2 years ago

In a geometric sequence, a2=108 and as 256. Write the explicit formula for this sequence.

Mathematics

2 answers:

torisob [31]2 years ago

8 0

Answer:

The first choice is correct.

Step-by-step explanation:

First work out the common ratio r:-

a2 = a1r and a5 = a1 r^4

So r^3 = a1r^4 / a1r = 256/ 108

r = cube root (256/-108) = 4/3

So the explicit formula is 108(4/3)^(n-1)

mariarad [96]2 years ago

4 0

Answer:

C. 81[-4/3]^n-1

Step-by-step explanation:

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Solve the inequality 3>5-b

victus00 [196]

Answer:

I'm pretty sure its b>2

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3>−b+5

Step 2: Flip the equation.

−b+5<3

Step 3: Subtract 5 from both sides.

−b+5−5<3−5

−b<−2

Step 4: Divide both sides by -1.

-b/-1 < -2/-1

Answer:

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1 year ago

Solve: the quantity 2x minus 20 divided by 3 = 2x

ira [324]

Answer:

x=-5

Step-by-step explanation:

$\dfrac{2x-20}{3}=2x$

Multiply both sides by 3:

$2x-20=6x$

Subtract 2x from both sides:

$-20=4x$

Divide both sides by 4:

$x=-5$

Hope this helps!

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2 years ago

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What is the width of a rectangle with length 14 cm and area 161 cm to the 2nd power?

WINSTONCH [101]

A=l*w
161=14w

161/14=w

11.5cm is the width

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2 years ago

I need this problem solved real quick

PIT_PIT [208]

Let's take this problem step-by-step:

The ;unlabeled angle' adjacent to the 'outside angle of measure 78°'

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Now we know:

⇒ sum of all angles in a triangle ⇒ 180°

Let's put that in equation form and solve:

$x + 102 + 57=180\\x + 159=180\\x = 21$

Answer: 21°

Hope that helps!

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