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Marizza181 [45]
3 years ago
6

2, 6, 18, 54 What is the recursive formula for this sequence

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
5 0
A_n+1=3 *a_n
and a_1=2
ICE Princess25 [194]3 years ago
4 0
Not sure what the terminology is, but i know that you multiply the previous number by 3

2*3=6
6*3=18
18*3=54
etc
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Evaluate the integral. 3 2 t3i t t − 2 j t sin(πt)k dt
sveta [45]

∫(t = 2 to 3) t^3 dt

= (1/4)t^4 {for t = 2 to 3}

= 65/4.

----

∫(t = 2 to 3) t √(t - 2) dt

= ∫(u = 0 to 1) (u + 2) √u du, letting u = t - 2

= ∫(u = 0 to 1) (u^(3/2) + 2u^(1/2)) du

= [(2/5) u^(5/2) + (4/3) u^(3/2)] {for u = 0 to 1}

= 26/15.

----

For the k-entry, use integration by parts with

u = t, dv = sin(πt) dt

du = 1 dt, v = (-1/π) cos(πt).


So, ∫(t = 2 to 3) t sin(πt) dt

= (-1/π) t cos(πt) {for t = 2 to 3} - ∫(t = 2 to 3) (-1/π) cos(πt) dt

= (-1/π) (3 * -1 - 2 * 1) + [(1/π^2) sin(πt) {for t = 2 to 3}]

= 5/π + 0

= 5/π.

Therefore,

∫(t = 2 to 3) <t^3, t√(t - 2), t sin(πt)> dt = <65/4, 26/15, 5/π>.

3 0
3 years ago
What are the intercepts of the line 3x – 15y = 60?   A. x-intercept: –4; y-intercept: 20   B. x-intercept: –3; y-intercept: 15  
geniusboy [140]
<span>3x – 15y = 60

y-intercept x = 0</span>
3(0)– 15y = 60
-15y = 60
y = -4

x-intercept y = 0
3x– 15(0) = 60
3x = 60
x  =20

answer :

<span>C. x-intercept: 20; y-intercept: –4</span>
7 0
3 years ago
Rafael reads 3/4 chapters in 4/5 hours
Inessa [10]
I do not know the full question being asked, but if he reads 3/4 chapters in 4/5 hours, he would read 6/4 chapters, or 1 1/2 chapters in 1 3/5 hours.

Please mark Brainliest if helpful!
If this isn’t your question, please provide it fully in the comments of this answer. :))
4 0
3 years ago
In a shelter 15% of the animals are puppies, 45% are cats, and the rest are adult dogs. Based on this information ,if there are
frozen [14]
20 is the answer.

15% of 50= 7.5
45% of 50= 22.5
22.5+7.5=30
50-30=20.
7 0
2 years ago
3.
saveliy_v [14]

Answer: -4.96x + 6

Step-by-step explanation:

In this problem, it wants you to multiply the -0.4 by the numbers in the parentheses. Don’t let the X confuse you. This is just a placeholder for an unknown number. So first you would multiply the -0.4 into the 10.2, And once you get your answer, just add the X to the end. Which is -4.08x. Then, you would do the same thing, multiply the -0.4 (the number outside of the parenthesis, only with the -15 now. Which gets you 6. Lastly, you take the -0.4 once more and multiply it by the 2.2x. Which gets you -0.88.


-0.4 (10.2x-15+2.2x)

= - 4.08x +6 -0.88x

Now that you have this problem, combined like terms. What are the like terms in this problem?

The -4.08x can be combined with the -0.88 which gets you -4.96. Bring the +6 down, and that gets you your answer of -4.96 +6.


-4.08x -0.88x +6

= -4.96x +6


This would be your final answer because nothing further can be done at this point.


hope this helps!

3 0
2 years ago
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