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2 years ago

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

1 answer:

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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Semenov [28]

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3 years ago

Read 2 more answers

After heating a fixed volume of gas at 50 psia from 300° R to 600°R, its pressure will be:

Vadim26 [7]

Answer:

100 psia

Step-by-step explanation:

Applying,

Pressure law,

P/T = P'/T'................. Equation 1

Where P = initial pressure, P' = Final pressure, T = initial temperature, P' = Final temperature.

make P' the subject of the equation

P' = PT'/T............ Equation 2

From the question,

Given: P = 50 psia, T = 300°R = (300×5/9)K = 166.66 K, T' = 600°R = (600×5/9)K = 333.33 K

Substitute these values into equation 2

P' = (50×333.33)/166.66

P' ≈ 100 psia

P ≈ 100 psia

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2 years ago

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olchik [2.2K]

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2 years ago

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3 years ago

4, 12, 20, .. Find the 46th term.

lutik1710 [3]

Answer:

46th term of the sequence is 364

Step-by-step explanation:

first term = 4

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46th term = first term+(46 - 1)×common difference

so,

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2 years ago