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dmitriy555 [2]
3 years ago
14

Consider the sequence:

Mathematics
1 answer:
Ket [755]3 years ago
7 0

Answer:

a_n = 3 + a_n − 1 a_ n = 3 + a_ n − 1

Step-by-step explanation:

The first term is 8, so a_1 = 8

Each time we want a new term, we add on 3

8+3 = 11

11+3 = 14

14+3 = 17

17+3 = 20

23+3 = 26

and so on

This recursive step of adding on 3 to the prior term is written as this: an = 3+a_n-1 which says "to get the nth term, add 3 to the term just before the nth term"

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What is the value of x in the equation 2.5(5x-5)=10+4(1.5+0.5x)
Alexus [3.1K]

Answer:

x= 19/7

Step-by-step explanation:

7 0
3 years ago
the large Square above has area 9 is divided into 9 smaller squares of equal area what is the length of how strong and bold
Kay [80]
If one square is divided into 9 smaller equal squares, then they have to be arranged in 3 lines of 3, that is 3 smaller equal squares per side of the original big square. That said, the area of the big square is equal to the multiplication of 3 small squares sides times 3 small squares sides, call x the length of the small squares.
So,
area = 9 = 3x*3x
9x^2 = 9
x^2 = 1
x = 1
therefore the smaller squares have sides of 1 unit
8 0
4 years ago
Franco made a dozen muffins for his party. Upon taking them out of the oven,
Naddik [55]

Answer:

Option B.

Step-by-step explanation:

This question is incomplete; find the complete question with the attachment.

Franco made number of muffins = a dozen

A dozen muffins = 12 muffins

Number of muffins were burned = 2

Remaining muffins = 12 - 2 = 10

Franco served 7 of the remaining non-burned muffins,

Fraction of muffins served = \frac{7}{10}

Remaining muffins = 3

Fraction of remaining muffins = \frac{3}{10}

Fraction of remaining non-burned muffins we can get from,

\frac{10}{10}-\frac{7}{10}=\frac{3}{10}

Option B is the correct equation.

7 0
4 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
sergiy2304 [10]

Answer:

The measure of angle θ is 7π/6. The measure of its reference angle is  <u>210°</u>

and sin θ is​ <u>-1/2</u>.

Step-by-step explanation:

The correct question is:

<em>The measure of angle θ is 7π/6. The measure of its reference angle is  ___</em>

<em>and sin θ is​ ___</em>

180° is equivalent to π radians. To transform 7π/6 radians to degrees, we have to use the following proportion:

180° / π radians = x° / (7π/6 radians)

x = (180/π) * (7π/6 radians)

x = 210°

And sin(210°) = -1/2

6 0
3 years ago
!!!URGENT!!!
GenaCL600 [577]

Answer:

r = 0.

Step-by-step explanation:

The slope = (y2 - y1) / (x2 - x1)

So  (r - (-3)) / (-4-2) = -1/2

(r + 3) / -6 = -1/2

2(r + 3)  = 6

2r + 6 = 6

2r = 6 - 6 = 0

r = 0  (answer).

7 0
3 years ago
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