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Dmitry_Shevchenko [17]
3 years ago
14

A statement Sn about the positive integers is given. Write statements Sk and Sk+1, simplifying Sk+1 completely. Show your work.

Mathematics
1 answer:
pentagon [3]3 years ago
4 0

\displaystyle S_k = \sum\limits_{i=1}^k{i(i+1)} = \dfrac{k(k+1)(k+2)}{3} \\ \\ S_{k+1} = \sum\limits_{i=1}^{k+1}{i(i+1)} = \dfrac{(k+1)(k+1+1)(k+1+2)}{3}=\\ \\ = \dfrac{(k+1)(k+2)(k+3)}{3}

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3 years ago
What is -4x - 7 - 3x + 4 = 25?​
g100num [7]

Answer: x= -4

Step-by-step explanation:

Combine like terms

-4x -7 -3x + 4 = 25

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6 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!:<br><br> Solve for a and b<br> 6a-b=-5<br> 4a-3b = -8
klemol [59]

Answer:

a = -1/2

b = 2

Step-by-step explanation:

Step 1: Rewrite 1st equation

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b = 5 + 6a

Step 2: Substitution

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Step 3: Solve

4a - 15 - 18a = -8

-14a - 15 = -8

-14a = 7

a = -1/2

Step 4: Plug in <em>a</em> to find <em>b</em>

6(-1/2) - b = -5

-3 - b = -5

-b = -2

b = 2

7 0
3 years ago
Explain how can you determine if a solid has reflectional<br> symmetry.
Pani-rosa [81]

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Step-by-step explanation:

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3 years ago
3,050Divided by 10 to the second power. Answer
Ivenika [448]
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10 to the 2nd power is 100
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