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erma4kov [3.2K]
3 years ago
6

Write a rule for the nth term of the sequence 2,20,50,92?

Mathematics
2 answers:
Tomtit [17]3 years ago
7 0

Answer:

482

Step-by-step explanation:

Their 2nd difference is 12

Aneli [31]3 years ago
4 0

2,20,50,92,...\\ \\ a_1 = 2\\ a_2 = a_1+18=a_1+6\cdot 3 \\ a_3 = a_2+30=a_2+6\cdot 5\\ a_4 = a_3 +42 = a_3+6\cdot 7\\ a_5 =a_4+54 = a_4+6\cdot 9\\...\\a_n = a_{n-1}+6\cdot (2n-1) \\ \\ a_1+a_2+...+a_n = \\ =a_1+a_2+...+a_{n-1}+2+6\cdot \Big(3+5+7+...+(2n-1)\Big)\\ \\ a_n = 2+6\cdot \Big(3+5+7+...+(2n-1)\Big)\\ a_n = 6\cdot \Big(1+3+5+7+...+(2n-1)\Big)-4 \\ a_n = 6\cdot n^2-4 \\ \\ \Rightarrow \boxed{a_n = 6n^2-4}

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When dividing the polynomial using synthetic division, which of the following setup boxes would be used?
Galina-37 [17]

The setup boxes in the synthetic division are (b)

<h3>How to determine the setup boxes?</h3>

The dividend is given as:

x^3 + 4x^2 + x - 6

The divisor is given as:

x - 2

Set the divisor to 0

x - 2 = 0

Solve for x

x = 2

Remove the variables in the dividend

1 + 4 + 1 - 6

Remove the arithmetic signs

1  4  1 - 6

So, the setup is:

2 | 1  4  1 - 6

Hence, the setup boxes are (b)

Read more about synthetic division at:

brainly.com/question/12951962

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8 0
1 year ago
10, 30, 90 continue the pattern
Novosadov [1.4K]
The answer is 270, the pattern is multiplying by 3. So, 10 • 3 = 30 30 • 3 = 90 90 • 3 = 270, and so on. Hope this helps! Let me know if you need any further assistant.
7 0
3 years ago
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10. Find the total surface area of the triangular prism<br> shown below.
marishachu [46]

Answer:

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2 years ago
B increased by 16 is at most 20 in equation form
Umnica [9.8K]

Answer:

b+16\leq 20

Step-by-step explanation:

b increased by 16 is at most 20 in equation form

increased means add

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2 years ago
What is true of the data in the dot plot? Check all that apply.
Archy [21]

Answer:

B, D,

Step-by-step explanation:

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Total number of dots: 23 =>

The center is 2 Wrong

The center is 1.5. True

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3 years ago
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