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3 years ago

13

Determine whether each sequence is arithmetic or geometric. Find the next three terms.

1 answer:

damaskus [11]3 years ago

4 0

You don't know your terms I suppose.

Arithmetic: goes from one term to the next by adding or subtracting the same amount
Ex. 3,12,21,30,39 (d=9)
(d means difference, use this for arithmetic sequences)

Geometric: goes from one term to the next by multiplying or dividing by the same amount
Ex. 1,2,4,8,16,32,64,128 (r=2) (r means ratio, its just the number multiplied or divided each time)

Answer is c

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3 years ago

What is the value of p?

AleksandrR [38]

Answer:

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Step-by-step explanation:

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3 years ago

Find the product (8/6n-4)(9n^2-4)

Leokris [45]

Answer:

4(3n+2) or 12n+8

Step-by-step explanation:

Given expression is:

$(\frac{8}{6n-4})(9n^{2}-4)$

The numerator of the fraction will be multiplied with 9n^2- 4

So, Multiplication will give us:

$=\frac{8(9n^2-4)}{6n-4}$

We can simplify the expression before multiplication.

The numerator will be broken down using the formula:

$a^2 - b^2 = (a+b)(a-b)\\So,\\= \frac{8[(3n)^2 - (2)^2]}{6n-4}\\ = \frac{8(3n-2)(3n+2)}{6n-4}$

We can take 2 as common factor from denominator

$=\frac{8(3n-2)(3n+2)}{2(3n-2)}\\After\ cutting\\= 4(3n+2)$

Hence the product is 4(3n+2) or 12n+8 ..

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3 years ago

3. Use De Morgan's laws to write an equivalent statement for the given sentence. If Ashley buys a house, then she will not buy a

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2 years ago

If angle 0 is in quadrant I, what is the value of

Brilliant_brown [7]

Answer:

$the \: answer \: is \: c \: = - \frac{ \sqrt{14} }{5}$

Step-by-step explanation:

$\sin^{2}0 + ( \frac{ \sqrt{11} }{5} ) ^{2} = 1( \sin^{2}0 + \cos^{2} 0 = 1)$

${ \sin }^{2}0 + \frac{11}{25} = 1 \\ { \sin }^{2}0 = \frac{14}{25}$

$\sin0_{1} = - \frac{ \sqrt{14}}{5} while \sin0_{2} = \frac{ \sqrt{14} }{5}$

Therfore theta is QI
Therfore sin theta >0
$therefore \: \sin0 = \frac{ \sqrt{14} }{5}$

4 0

2 years ago