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2 years ago

Fill in the table with the next four terms of the sequence a1=4 and an=3an – 1, if n≥2.

Mathematics

1 answer:

Alexeev081 [22]2 years ago

3 0

Answer:

12, 36, 108, 324

Step-by-step explanation:

using the recursive formula and a₁ = 4 , then

a₂ = 3a₁ = 3 × 4 = 12

a₃ = 3a₂ = 3 × 12 = 36

a₄ = 3a₃ = 3 × 36 = 108

a₅ = 3a₄ = 3 × 108 = 324

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HELP ME PLS

kolbaska11 [484]

Answer:

Slope = 27/11

AB = 29.15 u

Step-by-step explanation:

Given :-

Two points are given to us .
The points are A(7,15) and B(18,42)

To Find :-

The slope of the line .
The length of line AB .

We can find the slope of the line passing through the points $( x_1,y_1)$ and $( x_2,y_2)$ as ,

$\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}$

Plug in the respective values ,

$\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}$

Hence the slope of the line is 27/11 .

$\rule{200}2$

Finding the length of AB :-

We can find the distance between them by using the Distance Formula .

$\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }$

Hence the length of AB is 29.15 units .

5 0

3 years ago

Solve with image 42.9 -11.71

Harman [31]

Answer:

Well use long subtraction to evaluate

So that gives you a Answer of 31.19 Hope this helps :)

Step-by-step explanation:

7 0

3 years ago

If y = 124 and x = 12, find y when x = -24.

tatyana61 [14]

Answer:

y = -248

Step-by-step explanation:

Hi there!

Set up a proportion:

$\displaystyle\frac{124}{12} =\frac{y}{-24}$

Cross-multiply:

$12y=(-24)(124)\\12y=-2976\\y=-248$

I hope this helps!

7 0

2 years ago

Which graph shows y=3⌈x⌉+1?

vovangra [49]

Answer:

Its the bottom-right one

Step-by-step explanation:

Have a good day

8 0

2 years ago

Elena walked 12 miles. Then she walked 0.25 that distance. How far did she walk all together? Select all that apply. A: 12+0.25∙

vovangra [49]

Answer:

Step-by-step explanation:

If Elena walk 12 miles, and then 0.25 that distance

0.25=1/4

12*1/4=3 miles is 1/4 of the distance

she walked in total 12+3=15 miles

choice A =12+12*1/4

3 0

3 years ago