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Airida [17]
3 years ago
15

Fill in the next two terms of the arithmetic sequence: –18, –7, 4, 15, ______, ______

Mathematics
2 answers:
Blizzard [7]3 years ago
8 0

-18 + 11 = -7 + 11 = 4 + 11 = 15 + 11 = 26 + 11 = 37

The next two terms in the sequence are 26 and 37.

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

MaRussiya [10]3 years ago
6 0

Answer:

Step-by-step explanation:number of terms of AP = Tn = a + (n-1)d where n is 6th term and a is the first term of the progression and d is the common difference.

Therefore, T6 = a + (6-1)d._____(1)

To calculate d, the second term is deducted from the first term;

d = -7 - (-18); -7 + 18 = 11.

T6 = -18 + 5 x 11

= -18 + 55

= 37.

The fifth term is 37- 11, = 26.

The next two terms will be, 26, 37.

Alternative method, add 11, the common difference to 15, which is 26, and add 11 to 26 which gives 37

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kupik [55]

The number of square tiles needed is 24 tiles

The formula for calculating the area of a rectangle is expressed as:

A = LW where:

L is the length

W is the width

For the rectangle:

Area = 12 feet × 8 feet

Area = 96ft²

For the square:

Area of a square = L²

Area of a square = 2²

Area of a square = 4ft²

Determine the number of square tiles that will cover the patio.

Number of square tiles needed = Area of rectangle/Area of square

Number of square tiles needed = 96/4

Number of square tiles needed = 24

Hence the number of square tiles needed is 24 tiles.

Learn more here: brainly.com/question/16525056

7 0
2 years ago
Urgent math help needed will mark brainliest
iren [92.7K]

Remark

Many calculators have a key that will do this in one step. Mine is one of them. So let's start with the answer and then we'll do it the long way.

9C3 = 84. You put it into your calculator as 9   2nF   nCr 3 =

Solution

\dfrac{9!}{(n - 3)!3!} = \dfrac{9*8*7*6!}{6!*3!}=\dfrac{9*8*7}{6}

3*4*7 = 84 which is what you set out to show.


3 0
3 years ago
Which undefined terms are needed to define parallel lines
Alexandra [31]
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The graph of a proportional relationship passes through the point (6, 21). What is the equation for the relationship?​
Kipish [7]

Answer:

The equation for the relationship is y = \frac{7}{2}\cdot x.

Step-by-step explanation:

Given that point (x,y) = (6, 21) is part of a direct relationship. That is:

y \propto x

y = k\cdot x (1)

Where k is the proportionality constant.

If we know that x = 6 and y = 21, then the proportionality constant is:

k = \frac{y}{x}

k = \frac{21}{6}

k = \frac{7}{2}

Lastly, the equation for the relationship is y = \frac{7}{2}\cdot x.

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