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Alex777 [14]
4 years ago
12

Identify the recursive rule for the sequence: 4, 13, 22, 31, 40, 49

Mathematics
2 answers:
maks197457 [2]4 years ago
7 0

Answer:

a(n+1) = a(n) + 9

Step-by-step explanation:

The terms just before and just after each are 9 more than the previous term or 9 less than the previous term.  In other words, the common difference is 9.

Thus, the recursive formula is a(n+1) = a(n) + 9

NikAS [45]4 years ago
3 0

Answer:9

Step-by-step explanation: 4+9=13, 13+9=22, 22+9=31, 31+9=40, 40+9=49.

As you can see, 9 is being added so the answer is 9

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4. In a cricket match a batsman hits of boundary 6 time out of 30 balls find the probability
antiseptic1488 [7]

Answer:

here

Step-by-step explanation:

We have been given that, in a cricket match, a batsman hits a boundary 6 times out of 30 balls he plays and we have to find the probability of not hitting boundary. So, the probability of hitting boundary⇒Number of boundaries hitTotal number of balls=630=15.

7 0
3 years ago
What is the sum of the geometric series?
Dvinal [7]

Essentially this is asking you to sum the first three values of the geometric series that starts with i being 1 and has the rule of (8(\frac{1}{4})^{i-1}).

Since we must sum the first <em>three </em>geometric values we need to see what the value of i will be for the first three. The sigma notation shows us that the first i will be equal to 1. This means the second i is 2 and the third i is 3.

Knowing this you can plug in the corresponding i values into (8(\frac{1}{4})^{i-1}) and sum it all together

(8(\frac{1}{4})^{1-1}) + (8(\frac{1}{4})^{2-1}) + (8(\frac{1}{4})^{3-1})

(8(\frac{1}{4})^{0}) + (8(\frac{1}{4})^{1}) + (8(\frac{1}{4})^{2})

(8(1)) + (8(\frac{1}{4})) + (8(\frac{1}{16}))

(8) + (2) + (\frac{1}{2}))

10 + \frac{1}{2})

\frac{21}{2})

10.5

Hope this helped!

~Just a girl in love with Shawn Mendes

8 0
4 years ago
What must be added to both sides in 4x² + 24x + 8 = 32 in order to complete the square?
Sergeu [11.5K]

Answer:

16

Step-by-step explanation:

To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).

Therefore, we would have to first make the coefficient of x² to be equal to 1.

4x² + 24x + 8 = 32

We would simplify the equation;

4x² + 24x = 32 - 8

4x² + 24x = 24

Divide all through by 4;

x² + 8x = 24

The value to be added = (8/2)² = 4² = 16

x² + 8x + 16 = 8 + 16

x² + 4x + 4x + 16 = 24

x(x + 4) + 4(x + 4) = 24

(x + 4)² = 24

Taking the square root of both sides;

x + 4 = ± 4.9

x = -4 ± 4.9

x = -4 + 4.9 = 0.9

or

x = -4 - 4.9 = - 8.9

<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>

6 0
3 years ago
Quadrilateral PAID is a rectangle whose diagonals have the endpoints P(-3, -2)I(4, -7) and A(4, -2)D(-3, -7). Find the diagonals
BARSIC [14]

Answer:

(0.5,-4.5)

Step-by-step explanation:

The given rectangle has diagonals have the endpoints P(-3, -2) ,I(4, -7) and A(4, -2) ,D(-3, -7)

The diagonals of the rectangle bisect each other so we use the midpoint formula to find their point of intersection.

The midpoint formula is;

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

We use any pair of endpoints of the diagonals to find the point of intersection.

Using A(4, -2) ,D(-3, -7)

(\frac{4+-3}{2},\frac{-2+-7}{2})

(\frac{1}{2},\frac{-9}{2})

or

(0.5,-4.5)

7 0
4 years ago
What 89337 times 8<br><br> A-888998<br><br> B-903842<br><br> C-714696<br><br> D-847839
Romashka [77]

Answer:

C   714,696

Step-by-step explanation:

89,337 x 8 =

3 0
3 years ago
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