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3 years ago

Find the sum of the arithmetic sequence 22, 11, 0, -11, ..., –77.

Mathematics

1 answer:

blagie [28]3 years ago

7 0

Answer:

Step-by-step explanation:

First you need to figure out how many numbers there are, so with this you can simply count 10. Then use the formula to plug in the numbers: 10(22-77)/2 to get the answer.

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Expression that is equivalent to<br> 2(x-3)2 ?

atroni [7]

Answer:

I would say it's 4x-12

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2 years ago

Read 2 more answers

2.) Fill in the blank.

Montano1993 [528]

Answer:

E.) 1

Step-by-step explanation:

Firstly we will solve for L.H.S.

L.H.S. = $Csc^2\theta$

Since we know that $Csc^2\theta$ is the inverse of $Sin^2\theta$ .

So we can say that;

$csc^2\theta=\frac{1}{sin^2\theta}$

Now For R.H.S.

$Cot^2\theta+1$

Since we can rewrite $cot^2\theta$ as $\frac{cos^2\theta}{sin^2\theta}$ .

Now we can say that the R.H.S. is;

$\frac{cos^2\theta}{sin^2\theta}+1$

Now we add the fraction and get;

$\frac{cos^2\theta+sin^2\theta}{sin^2\theta}$

Now according to trigonometric identity;

$cos^2\theta+sin^2\theta=1$

So, $\frac{cos^2\theta+sin^2\theta}{sin^2\theta}=\frac{1}{sin^2\theta}$

Here,

$csc^2\theta=\frac{1}{sin^2\theta}$ and $Cot^2\theta+1$ = $\frac{1}{sin^2\theta}$ <em> </em>

L.H.S. = R.H.S.

Hence $csc^2\theta=cot^2\theta+1$

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3 years ago

Segma infinity to k=2 (k!)^2/(2k)! X^2k+1

Alisiya [41]

Answer:

These are geometric or telescoping series.) A. ∞. ∑ k=3. 5. 2k . Answer: ... k=3. 5. 2k. = 5. 23. +. 5. 24. +. 5. 25. + ···. This is a geometric series with ratio r = 1/2. ... 516) with f(x)=1/(x ln(x)).

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3 years ago

Jake owns stock in a high-tech firm. Each share is currently valued at $61 per share, which is 22% more than Jake paid to purcha

ratelena [41]

The price per share of the stock of the high-tech firm that was purchased by Jake is $50.

<h3>What is the price per share?</h3>

Percentage is a measure of frequency that calculates the fraction of an amount out of hundred.

What is the price per share of the stock purchased by Jake = current value / ( 1 + percentage increase)

61 / 1.22 = $50

To learn more about percentages, please check: brainly.com/question/25764815

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2 years ago

Elijah has some dimes and some quarters. He has a minimum of 18 coins worth at most $3.60 combined. If Elijah has 12 dimes, dete

marysya [2.9K]

Answer:

Step-by-step explanation:

So, 12 dimes is 120 cents. 120 cents is $1.20. You said he had 18 coins, and 12 dimes takes away 12 coins. So the only number left is 6. (I think)

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3 years ago