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Inga [223]
4 years ago
5

QUICKKKKK Someone plz answer number 2

Mathematics
1 answer:
Naily [24]4 years ago
4 0

Answer:

5 times the sun of 2x and 3y equals the difference of y to the second power and 2x cubed

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A sequence can be generated by using an=4a(n-1)
WITCHER [35]
This problem is half understanding the question and half just plugging in numbers.

Understanding the Question:
So its saying that n = whole number bigger than one, making n = 2, 3, 4, 5, etc.

Now try plugging any number n into the a_n = 4a_{n-1} equation. Let's use 2 to make it simple. If you plug in 2, you get:
a_2 = 4a_{2-1}\\
a_2 = 4a_1
Remember that the subscripts (the small numbers in the corner) are simply the term number. a_1 is term 1, a_2 is term 2, etc. The equation is saying that "term 2 = 4 times term 1."

If you keep plugging in random numbers for n, you'll see that the equation basically says, "a term = 4 times the term right before it." That makes it easy to plug and chug to get our answer.

Plugging and Chugging
Now we understand the question is asking for the first 4 terms, and each term is 4 times the last term. You're told that term 1, a_1 = 6. That makes the next four terms:

Term 2
a_2 = 4a_{2-1}\\
 a_2 = 4a_1\\
 a_2 = 4(6)\\
 a_2 = 24

Term 3
a_3 = 4a_{3-1}\\ a_3 = 4a_2\\ a_3 = 4(24)\\ a_3 = 96

Term 4
a_4 = 4a_{4-1}\\ a_4 = 4a_3\\ a_4 = 4(96)\\ a_4 = 384

Your first 4 terms are 4, 24, 96, and 384.

--------

Answer: A) F

6 0
4 years ago
You want $5000 4 years from nowfor a down payment for a car. How much money must be deposited monetly into an account earning 4.
timama [110]

Answer:

$95.5090 must be deposited monthly

Step-by-step explanation:

From the information given:

The annual interest rate (r) = 4.2% = 0.042

Let assume that an amount Y is deposited, then after one month, it will increase to:

Y ( 1+ \dfrac{0.042}{12})

The total amount after 4 years will be:

= Y ( 1+ \dfrac{0.042}{12})^{48}+Y ( 1+ \dfrac{0.042}{12})^{47} +Y ( 1+ \dfrac{0.042}{12})^{46} +...+ Y ( 1+ \dfrac{0.042}{12})

= Y ( 1.0035)^{48}+Y ( 1.0035)^{47} +Y( 1.0035)^{46} +...+ Y( 1.0035)

Using the sum of a geometric progression:

= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{(1.0035-1)}

= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035}

The above amount is then equal to $5000

i.e

= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035} = 5000

Y =  \dfrac{5000\times 0.0035}{(1.0035)(1.0035^{48}-1)} \\ \\  \mathbf{Y = \$95.5090}

8 0
3 years ago
A person in a certain family eats 684.6 lb of fruit and vegetables in a year. What is the average consumption in one day ( use 1
sasho [114]
Every day that person consumes <span>1.87561643836 pounds of fruit and vegetables in a day.</span>
6 0
3 years ago
Which expressions are equivalent to g + h + (j + k)? Check all that apply.
Paha777 [63]

Answer:

3.

{ \tt{g + h + (j + k)}} \\  = (g + h) + j + k

5 0
3 years ago
Read 2 more answers
What is the correct classification of 7x^2+9x+4
sammy [17]
<span>Trinomial: 3 term polynomial </span>
<span>examples: </span>
<span>2x^5 − 3x^2 + 5 </span>

<span>Answer: Trinomial</span>
3 0
3 years ago
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