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TiliK225 [7]
1 year ago
7

Write the equation of the sequence below using the explicit formula

Mathematics
1 answer:
morpeh [17]1 year ago
4 0

The given sequence is an arithmetic sequence beacuse there is a common difference between consecutive terms. We can determine this by subtracting the consecutive terms as shown below

Common difference, d = 8 - 3 = 13 - 8 = 18 - 13 = 5

The explicit equation for an arithmetic sequence is written as

an = a1 + d(n - 1)

The first term, a1 = 3

n is the number of terms

d is the common difference aand it is 3

By substituting these values into the equation, the explicit formula for this sequence is

an = 3 + 5(n - 1)

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We are interested in the dimensions of a certain rectangle. This rectangle has length triple the side of the square and width tw
sukhopar [10]
Let s be the side of the square. The length of the rectangle is 3s and its width is equal to s - 2. From the given condition,
                              A (square) = A (rectangle)
                                 s² = (3s)(s - 2)
                                 s² = 3s² - 6s
                                   -2s² = -6s
                                       s = 3
Thus, the length of the rectangle is 9 and its width is 1
4 0
3 years ago
What is the sum of the next two terms in the sequence: -3, -1, 3, 9, 17
Korvikt [17]
Answer: 66 because you are adding 2 then 4 then 6 then 8 then 10 then 12 therefore 17+10= 27, and 27+12= 39 and 39+27 equals 66
6 0
4 years ago
If y = 3. what is 6y?​
NNADVOKAT [17]

Your question has been heard loud and clear.

If y = 3 , then 6y = 6(3) = 18

Thank you

5 0
3 years ago
What are the roots of the equation?<br><br> x^2+24=−11x<br><br> Enter your answers in the boxes.
docker41 [41]
<span>The <u>correct answers</u> are:

x=-3 and x=-8.

Explanation<span>:

We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
x</span></span>²<span><span>+11x+24=0.

Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).

The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.

Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.

Solving the first equation:
x+3-3=0-3
x=-3.

Solving the second equation:
x+8-8=0-8
x=-8.</span></span>
8 0
3 years ago
Read 2 more answers
Please help lolz!! ill give brainly &lt;3
katrin [286]

Answer:

34.56ft or 35ft

Step-by-step explanation:

First, you do 5.5 times 2 to get 11.

Now you multiply 11 by pi to get 34.56 or 35

8 0
3 years ago
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