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2 years ago

The nth term of a sequence is given by 2n+1.Write down the first four terms of the sequence.

Mathematics

1 answer:

ale4655 [162]2 years ago

8 0

Answer:

x, 2x+1, 4x+3, 8x+7

Step-by-step explanation:

If we call the first term x, then the subsequent term is 2x+1. Then, the next term is 2(2x+1)+1=4x+2+1=4x+3. Then, the fourth term is 2(4x+3)+1=8x+6+1=8x+7.

As a matter of fact, the nth term is given by $2^{n-1}x+2^{n-1}-1$ for starting term x.

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Does anyone know this

kap26 [50]

Answer: 761 yd

split the figure into different pieces to make it easier

(23 x 7) + (40 x 15)

161 + 600

761

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6 0

2 years ago

Read 2 more answers

#1 Find the slope given the points (3,-20) and (5,8) *

Artyom0805 [142]

Hey there :)

To find the slope with two points we will need to use the equation $\frac{y^2-y^1}{x^2-x^1}$

$x^1$ $x^2$ $y^1$ $y^2$

( 3 , -20 ) ( 5 , 8 )

Here is what the equation should look like when replaced with the numbers (it will be a fraction) :

$\frac{8 - (-20)}{5 - 3}$

We know that two negatives cancel out and make a positive, so the numerator would actually be 8 + 20.

Solve the fraction and we get $\frac{28}{2}$

28 divided by 2 is 14. The slope is 14.

6 0

2 years ago

Find the equation of the line with slope = -7 and passing through (-7,51). write your equation in the form y=mx+b

muminat

Answer:

y = -7x + 2

Step-by-step explanation:

Since we do not have the y-intercept (or, when the x is 0) We will use the Slope Form Formula (y - y1 = m(x - x1)) to find the Slope Intercept Form Formula (y = mx + b)

Point: (-7,51)

Slope: -7

y - y1 = m(x - x1)

y - 51 = -7(x - (-7))

y - 51 = -7(x + 7)

y - 51 = -7x - 49

y = -7x - 49 + 51

y = -7x + 2

4 0

2 years ago

Simplify: –3(x – 5) – 8(y + 2) + (–3)(6 – 4b)

Paha777 [63]

-3 (x - 5) - 8 (y + 2) + (-3) (6 - 4b)

First, simplify your brackets. / Your problem should look like: -3 (x - 5) - 8 (y + 2) + -3 (6 - 4b)
Second, simplify. / Your problem should look like: -3 (x - 5) - 8 (y + 2) - 3 (b - 4b)
Third, expand your problem. / Your problem should look like: -3x + 15 - 8y - 16 - 18 + 12b
Fourth, simplify. / Your problem should look like: -3x - 8y + 12b - 19

Answer: -3x - 8y + 12b - 19 (D)

3 0

2 years ago

Read 2 more answers

What are the possible lengths for x, the third side of a triangle, if two sides are 21 and 10

SashulF [63]

To solve we need to use Pythagoras theorem ( $a^{2} + b^{2} = c^{2}$ )

There are 2 possible lengths for x: hypotenuse or one of the 2 shorter sides.

Hypotenuse:
10^{2} + 21^2 = $x^{2}$
100+441= $x^{2}$
$\sqrt{541} = \sqrt{ x^{2} }$
23.3≈x

Shorter leg:
$10^2 + x^2=21^2$
$x^2= 21^2-10^2$
$x^{2}$ = 441-100
$\sqrt{ x^{2} } = \sqrt{341}$
x≈18.47

8 0

2 years ago

The nth term of a sequence is given by 2n+1.Write down the first four terms of the sequence.​

The nth term of a sequence is given by 2n+1.Write down the first four terms of the sequence.