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storchak [24]
2 years ago
6

Write the first six terms of the sequence f(n)=n^3+2​

Mathematics
1 answer:
andrey2020 [161]2 years ago
4 0

Answer:

3,10,29,66,127,218

Step-by-step explanation:

f(n) = n^3 +2\\\\f(1) = 1^3 +2 = 1+2=3\\\\f(2)  =2^3 +2 = 8+2=10\\\\f(3)=3^3 +2 = 27+2 = 29\\\\f(4)  = 4^3 +2 = 64 +2 = 66\\\\f(5) = 5^3 +2 = 125+2 = 127\\\\f(6) = 6^3 +2 = 216+2 = 218

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A) In a group of 60 students, 15 liked maths only, 20 liked science only and 5 did not like
Paladinen [302]

Part (i)

We have 60 students total, and 5 didn't like any of the two subjects, so that must mean 60-5 = 55 students liked at least one subject.

<h3>Answer: 55</h3>

=========================================================

Part (ii)

We have 15 who like math only, 20 who like science only, and 55 who like either (or both). Let x be the number of people who like both classes.

We can then say

15+20+x = 55

x+35 = 55

x = 55-35

x = 20

This means 20 people liked both subjects

<h3>Answer: 20</h3>

=========================================================

Part (iii)

There are 15 people who like math only, and 20 who like both. Therefore, there are 15+20 = 35 people who like math (and some of these people also like science)

<h3>Answer: 35</h3>

=========================================================

Part (iv)

We'll follow the same idea as the previous part. There are 20 people who like science only and 20 who like both subjects. That yields 40 people total who like science (and some of these people also like math).

<h3>Answer: 40</h3>

=========================================================

Part (v)

We'll draw a rectangle to represent the entire group of 60 students. This is considered the universal set. Inside the rectangle will be two overlapping circles to represent math (M) and science (S).

We'll have 15 go in circle M, but outside circle S to represent the 15 people who like math only. Then we have 20 go in circle S but outside circle M to show the 20 people who like science only. We have another copy of 20 go in the overlapped region between the circles. This is the 20 people who like both classes. And finally, we have 5 go outside both circles, but inside the rectangle. These are the 5 people who don't like either subject.

Note how all of the values in the diagram add up to 60

15+20+20+5 = 60

This helps confirm we have the correct values.

<h3>Answer: See the venn diagram below</h3>

3 0
3 years ago
F(x) = -4x2 + 4x – 4<br> Find f(3)
ValentinkaMS [17]

F(3) occurs when x =3. So lets plug 3 into our equation.

f(3) = -4(3)^2 + 4(3)-4\\f(3) = -4(9) + 12- 4\\f(3) = -36 + 12- 4\\f(3)= -28

F(3) = -28

I hope this helps! :)

5 0
2 years ago
Find the 30th term of the following sequence. 1, 7, 13, 19, ... 174 175 180 181.
Tems11 [23]
Checking if the sequence is an arithmetic sequence 7 - 1 = 6 13 – 7 = 6 Therefore the sequence is arithmetic, with a_0 = 1 and d = 6 a_n = a_0 + (n-1)d a_30 = 1 + (29)(6) = 175 Therefore the 30th term is 175.
6 0
3 years ago
Read 2 more answers
Which set of points represents a function?
Aloiza [94]
A is the answer because it does not repeat any of the x numbers
8 0
3 years ago
Can somebody help me? ;)
Korolek [52]

Answer:

No!

Step-by-step explanation:

Hope that helped

4 0
3 years ago
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