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Cloud [144]
3 years ago
11

The sixth term is 22 and the common difference is six what is the fiftieth term

Mathematics
1 answer:
IrinaK [193]3 years ago
7 0
Hey! :)

The general formula for an arithmetic sequence is: a(n) = a + d(n - 1) 
a : first term d : common difference (6) n : number of the term 
In your example, you are told the 6th term is 22. a(6) = a + 6(6 - 1) = 22 a + 30 = 22 a = 22 - 30 a = -8 
So now you have the general formula: a(n) = -8 + 6(n - 1) 
If you like you can simplify it: a(n) = -8 + 6n - 6 a(n) = 6n - 14 
Then you can plug in n = 50: a(50) = 6(50) - 14 = 300 - 14 = 286
So your answer is 286

Hope this helps! :)
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Given that u =< 2,12 >, and z =< -7,5 >
swat32

Using the dot product:

For any vector x, we have

||x|| = √(x • x)

This means that

||w|| = √(w • w)

… = √((u + z) • (u + z))

… = √((u • u) + (u • z) + (z • u) + (z • z))

… = √(||u||² + 2 (u • z) + ||z||²)

We have

u = ⟨2, 12⟩   ⇒   ||u|| = √(2² + 12²) = 2√37

z = ⟨-7, 5⟩   ⇒   ||z|| = √((-7)² + 5²) = √74

u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46

and so

||w|| = √((2√37)² + 2•46 + (√74)²)

… = √(4•37 + 2•46 + 74)

… = √314 ≈ 17.720

Alternatively, without mentioning the dot product,

w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩

and so

||w|| = √((-5)² + 17²) = √314 ≈ 17.720

7 0
2 years ago
To which płace would you round to estimate 6,904-4,111 explain
Rainbow [258]
To estimate you would round the numbers, so it would be 7,000 - 4,000 = 3,000. 
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What is M ∠KNL ? Circles
alex41 [277]

Answer:

Do you still need help with this problem?

5 0
3 years ago
If g(x)=7x²−4x−3 and h(x)=5x²−12x, find (h∘g)(1)<br><br><br>FIRST BEST ANSWER BRAINLIEST
AURORKA [14]

Answer: See below

Step-by-step explanation:

h\:\circ \:g=h\left(g\left(x\right)\right)

=5\left(7x^2-4x-3\right)^2-12\left(7x^2-4x-3\right)

=5\left(7x^2-4x-3\right)\left(7x^2-4x-3\right)-12\left(7x^2-4x-3\right)

=245x^4-280x^3-130x^2+120x+45-84x^2+48x+36

Simplify:

=245x^4-280x^3-214x^2+168x+81

6 0
2 years ago
Hastings Diner reported losses of $475 each day for three days. What wa the loss for the three days?
Evgen [1.6K]

Answer:

-1425

Step-by-step explanation:

Day 1 - 475

Day 2 -475

Day 3 - 475

-475+ -475  + -475 = -1425

7 0
2 years ago
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