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Verizon [17]
3 years ago
12

The nth term of a sequence is 3n+2 work out the first three terms of the sequence

Mathematics
1 answer:
Alexus [3.1K]3 years ago
4 0

Answer:

5, 8, 11

Step-by-step explanation:

Plug the numbers 1 2 and 3 into the n variable in the expression given

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Could someone please help and explain how to do this
LiRa [457]

Answer:

Step-by-step explanation:

just remember that \sqrt{x} = x^{1/2}  .......  \sqrt[3]{x} = x^{1/3} \\also  that (x^{a})^{b}  = x^{a*b}

1) x^3 = x^ (3/4) ===> FALSE

2) x^3/4 = x^3/4 ===> TRUE

3) x^3/4 = x^3/4 ===> TRUE

4) x^(4/3) = x^(4/3) ===> TRUE

7 0
3 years ago
Read 2 more answers
What is the value of k
Nikitich [7]

Answer:

K = 10

Step-by-step explanation:

Interior angle adjacent to y = 180-115 = 65

Sum of interior angles in a triangle = 180

This the remaining interior angles for the triangle = 180-65= 115

In other words,

4K+5+6k+10 = 115

Simplify and solve:

10k + 15 = 115

10k = 115-15=100

K= 100/10 = 10

Hope this helps.

Good Luck

4 0
4 years ago
Read 2 more answers
Use euler's theorem to find a number x between 0 and 28 with x85 congruent to 6 modulo 35.
Elan Coil [88]
Problem: find 0 ≤ x ≤ 28 such that x^85 ≡ 6 modulo 35.

By Fermat-Euler theorem:
If a and n are coprime, i.e. (a,n)=1, then
a^phi(n) ≡ 1 mod n  
where phi(n)=totient function, the number of positive integers less than n that is coprime with n.

for n=35, phi(35)=24 calculated as follows:
There are 10 positive integers from 1 to 34 which are NOT coprime with 35, namely {5,7,10,14,15,20,21,25,28,30}.Therefore phi(35)=34-10=24

From Fermat-Euler theorem, 
x^(phi(35) = x^24 ≡ 1 modulo 35  since (24,35)=1, i.e. 24 and 35 are coprime.
=>
x^12 ≡ ± 1 modulo 35. ...........(1)

and 

x^85 ≡ x^(85-3*24) ≡ x^(85-72) ≡ x^(13) ≡ 6 mod 35 ............(2)

Substituting (1) in (2)
x^(12)*x ≡ 6 mod 35
=>
(+1)*x = 6 mod 35   or  (-1)*x ≡ 6 mod 35
x ≡ 6 mod 35           x ≡ -6 mod 35   (rejected)

=>  x=6 

So

6^85 ≡ 6 mod 35


If any clarifications are needed or if you find any errors, please post.
5 0
3 years ago
The ratio of the number of cups of yellow paint to the number of cups of blue paint that Greg mixed to make a shade of green pai
ziro4ka [17]

Answer:

Part A:  A ratio of 2:1  means that he uses<u><em> </em></u><u><em>2 cups of yellow paint for each cup of blue paint.</em></u>

-------------------------------------------------------------------------------------------------

Part B: The ratio of yellow to blue is 2:1 = 2/1. So, if for 2 yellow is 1 blue, then for 1 yellow is x:

2/1 = 1/x

x = (1*1) / 2

x = 1/2

<u><em>For each cup of yellow paint, Greg should add 1/2 cup of blue paint.</em></u>

<u><em></em></u>

-------------------------------------------------------------------------------------------------

 Part C: 6 cups cost $54, then 1 cup cost:

54 / 6 = 9

<u><em>The price per cup of yellow paint is $9.</em></u>

<u><em></em></u>

7 0
3 years ago
The Viking football team won 4 out of every 5 of their football games. If they played 20 games, how many games did they lose?
Lerok [7]
They lost 4 games :) hope this helps
5 0
3 years ago
Read 2 more answers
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