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erica [24]
2 years ago
5

A partial sum of an arithmetic sequence is given. Find the sum.

Mathematics
1 answer:
Nezavi [6.7K]2 years ago
3 0

Answer:

72.3

Step-by-step explanation:

Given that:

The arithmetic sequence:

\sum \limits ^{14}_{k=0} (3 + 0.26k)

The first term of the sequence a_0 = 3 since k = 0

i.e (3 + 0.26(0)) = 3

The last term of the sequence a_{14} = 6.64

i.e (3+ 0.26(14)

= (3 + 3.64)

= 6.64

Total no of terms = 15 i.e from 0 to 14

∴

The partial sum of the arithmetic sequence = \dfrac{Total \ no \ of \ terms }{2}  \times (a_o+a_{15})}

=\dfrac{15 }{2}  \times (3+6.64)}

= 72.3

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Oduvanchick [21]

Answer:  18\sqrt{2}\\\\

This is the same as saying 18*sqrt(2) or you could say 18√2

============================================================

Explanation:

We'll be using this square root rule: \sqrt{A}*\sqrt{B} = \sqrt{A*B}

So we could have this as our steps:

3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\

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5 0
3 years ago
The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If
attashe74 [19]

Answer:

t=7.85 years

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

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Where a is proportional constant, P the population variable, and t the time.

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Now, we use the sentence  the population has doubled in 5 years.

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I hope it helps you!

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2 years ago
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Answer a

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Step-by-step explanation:

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