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Evgen [1.6K]
3 years ago
6

What is the nth term rule of the quadratic sequence below? -5, -3,3, 13, 27, 45, 67, ...

Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
5 0

Answer:

u_{n} = 2n^{2} -4n-3

Step-by-step explanation:

a +b + c = - 5    First term in sequence

3a + b = 2   Difference between first two terms

2a = 4         Difference between  the difference of the first two terms and the second third terms (the difference between -5 and -3 is 2 the difference between -3 and 3 is 6; the difference between 6 and two is 4)

2a = 4 so a = 2; 3(2) + b = 2 → 6 + b = 2 so  b = -4; 2 - 4 + c = -5  → -2 + c = -5 so c = -3

Svetllana [295]3 years ago
4 0

Answer:

the pattern is +2, +6, +10, +14, +18 etc

so its in increment of 4

the rest is trivial

Step-by-step explanation:

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2 years ago
What is the experimental probability that the next customer buys a red notebook 150 pages.
charle [14.2K]

Answer:

5/33

Step-by-step explanation:

The table with proper formatting is attached in the image below.

We have to calculate the experimental probability that the next customer buys a red notebook with 150 pages.

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Experimental probability = \frac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}

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3 years ago
Find the product (-5a^2)^3•a^5
Oxana [17]

Answer:

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4 0
3 years ago
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Help meeeeeeeeeeeeeeeeeeeeee
KIM [24]

Answer:

52m

Step-by-step explanation:

Parallelograms have two pairs of equal sides. The length of stairs and the length of the right side of rooftop to ground is the same.

The problem has cut up a right-angle triangle for you. In the right-angle triangle, the hypotenuse is actually the same length as the stairs.

Use the pythagorean theorem: a² + b² = c²

"c" is the hypotenuse (the longest side)

"a" and "b" are the other two sides

Substitute a = 22 and b = 47. Isolate c.

a² + b² = c²

22² + 47² = c²

2693 = c²    Square root both sides of the equation

c = 51.89..... Exact answer in decimals

c ≈ 52    Rounded to the nearest metre (whole number)

Therefore the stairs are 52 metres long.

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3 years ago
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3 years ago
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