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Effectus [21]
3 years ago
9

Find the 76th term of the arithmetic sequence 17, 19, 21, ...

Mathematics
1 answer:
Dominik [7]3 years ago
5 0

Answer: 167

Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.

^{a}n = ^{a}1 (n - 1)d

Since we want to determine the 76th term, we are going

to substitute 76 in for <em>n</em> in our explicit formula.

Then, ^{a}1 will be our first term in our sequence which is 17.

Lastly, <em>d</em> is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.

So we have ^{a} 76 = 17 + (76 - 1)(2).

Now we have all the information we need. Just simplify from here.

Make sure to apply order of operations because this is where many

students make mistakes. Inside the parentheses first!

(76 - 1) is going to be 75.

So we have ^{a} 76 = 17 + (75)(2).

Then, we have to make sure we multiply before we add.

So (75)(2) is going to give us 150.

So we have ^{a} 76 = 17 + 150.

Now just add to find that ^{a} 76 = 167.

So the 76th term is 167.

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vovikov84 [41]
E^2x -2e^x -8=0   =>    e<span>^(2x)  -2e^x -8=0

Temporarily replace e^x with y.

Then (y)^2 - 2y - 8 = 0.  Factors are (y-4) and (y+2).

Roots are y = 4 and y= -2.

Now remembering that we temporarily replaced e^x with y, we let 
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8 0
3 years ago
Multiply using a special product formula (6x-8) (6x+8)
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The correct answer is B.

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Thus, our equation is 36x-64

Hope this helps!

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3 years ago
From a square sheet a 3 cm strap was cut off. The left rectangle has a surface of 70 cm^2. How long was the initial side of the
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Louise completed the work shown below. (5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9 Determine if Louise’s answer is correct. Explain
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Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.

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Answer:

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