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3 years ago

Please help with these questions

Mathematics

1 answer:

otez555 [7]3 years ago

4 0

1.)
3,6,12
a=3 and r=6/3, 12/6 =2
r=2
a•r ^n-1
3(2)^n-1

2.) horizontal translation right 5 units

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Plz do both of them for me and even show the work plzzzzzz

Vinvika [58]

Answer:

(a)= option 3

(b)= option 3

Step-by-step explanation:

(A) It is given that a sequence is defined by the recursive function $a_{1}=1$ and $a_{n}=a_{n-1}+n$

Now, substituting the value of n=2 in above equation,

$a_{2}=a_{1}+2$

$a_{2}=1+2$

$a_{2}=3$

Again putting n=3,

$a_{3}=a_{2}+3$

$a_{3}=3+3$

$a_{2}=6$

Putting n=4,

$a_{4}=a_{3}+4$

$a_{4}=6+4$

$a_{4}=10$

Putting n=5,

$a_{5}=a_{4}+5$

$a_{5}=10+5$

$a_{5}=15$

Putting n=6,

$a_{6}=a_{5}+6$

$a_{6}=15+6$

$a_{6}=21$

Putting n=7,

$a_{7}=a_{6}+7$

$a_{7}=21+7$

$a_{7}=28$

Hence, option 3 is correct.

(B) The given sequence is :

5, -10, 20, -40, 80.....

Since, the given sequence is GP, therefore

$a_{1}=5$ and r=-2

The nth term is given by:

$a_{n}=a_{1}r^{n-1}$

For fifteenth term, put n=15 in above equation, we get

$a_{15}=5(-2)^{14}$

= $5{\times}16384$

= $81920$

Hence, the fifteenth term is 81920.

Option 3 is correct.

5 0

3 years ago

Pleaaw show graph f(x) = -x+6

ioda

This isn't an answer, rather a suggestion. I would use the website desmos to help me. But for future reference I can help you.

f(x) = - x+6 is similar to y=-x+6.

Simply plug in random numbers into the variable x (preferably ones that could fit on your paper like 0,1,2,3...)

8 0

3 years ago

You are a farmer and want to spend under $35,000 on farm equipment. You need a hay bailer that costs $6,250 and several plowing

dimaraw [331]

Aftet buying the hay balier, you have $28750 left. You can buy 28750/2500 = 11.5
=> you can buy 11 disks.

7 0

3 years ago

Convert 15/125 As A Decimal Using Long Division<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B15%7D%7B125%7D%20" id="TexForm

denpristay [2]

0 . 1 2

125 ) 15.00

125

------

250

-----

The answer is 0.12

7 0

3 years ago

7 - 3x = 3 ( 3- x ) - 2<br><br> Please help & show how you got to the answer

Leokris [45]

Step 1: Simplify both sides of the equation.
7−3x=3(3−x)−2
7+−3x=(3)(3)+(3)(−x)+−2(Distribute)
7+−3x=9+−3x+−2
−3x+7=(−3x)+(9+−2)(Combine Like Terms)
−3x+7=−3x+7
−3x+7=−3x+7
Step 2: Add 3x to both sides.
−3x+7+3x=−3x+7+3x
7=7
Step 3: Subtract 7 from both sides.
7−7=7−7
0=0
So all real numbers

8 0

3 years ago

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