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Serggg [28]
3 years ago
13

A sequence U1, U2,U3...... is defined by the relation Un +1 = 2Un +5. if U1 =2, find U1​

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
3 0

Correct question:

a sequence U1, U2,U3...... is defined by the relation U_{n +1} = 2U_n +5. if U1 =2, find U2​ and U3

Answer:

U2 = 9

U3 = 23

Step-by-step explanation:

Given sequence;

U_{n +1} = 2U_n +5

U1 = 2

U2 = ?

U_{n +1} = 2U_n +5\\\\U_2 = 2(U_1) + 5\\\\U_2 = 2(2) + 5\\\\U_2 = 4 + 5\\\\U_2 = 9

Solving for U3;

U_3 = 2(U_2) + 5\\\\U_3 = 2(9) + 5\\\\U_3 = 18 + 5\\\\U_3 = 23

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(14x-13) (4x+13) (6x+2)
Diano4ka-milaya [45]

Answer:

x = 7.416666667

Set everything equal to 180 (the total # of degrees in a triangle)

180 = 14x-13 + 4x+13 + 6x+2

Combine the variables

180 = 24x - 13 + 13 + 2

Do the math

180 = 24x +2

178 = 24x

x = 7.416666667

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lina2011 [118]

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Please explain how this digraph works.
dusya [7]

Angles XQL and MQR are congruent because they are vertical angles. So

209 - 13 <em>b</em> = 146 - 4 <em>b</em>

Solve for <em>b</em> :

209 - 13 <em>b</em> = 146 - 4 <em>b</em>

209 - 146 = 13 <em>b</em> - 4<em> b</em>

63 = 9 <em>b</em>

<em>b</em> = 63/9 = 7

Then the measure of angle XQL is

(209 - 13*7)º = 118º

3 0
3 years ago
3 ÷ 1/2 what is it?​
Alja [10]

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8 0
3 years ago
Read 2 more answers
What is the slope intercept from of the equation of the line that that passes through the points (-3, 2) and (1, 5)
viva [34]

The slope-intercept form of a line:

y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\to slope\\\\b\to y-intercept

We have:

(-3,\ 2)\to x_1=-3,\ y_1=2\\(1,\ 5)\to x_2=1,\ y_2=5

Substitute:

m=\dfrac{5-2}{1-(-3)}=\dfrac{3}{4}

y=\dfrac{3}{4}x+b

Put the values of coordinates of the point (1, 5) to the equation of a line:

5=\dfrac{3}{4}(1)+b\\\\5=\dfrac{3}{4}+b\qquad|-\dfrac{3}{4}\\\\b=4\dfrac{1}{4}

Answer: y=\dfrac{3}{4}x+4\dfrac{1}{4}


5 0
3 years ago
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