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3 years ago

Write the first five terms of the sequence. an=n2 +2

Mathematics

1 answer:

Alla [95]3 years ago

4 0

Answer:

The first five terms of the given sequence

3, 6, 11, 18, 27

Step-by-step explanation:

It is given that,

an=n² +2

To find the first five terms

a₁ = 1² + 2 = 1 + 2 = 3

a₂ = 2² + 2 = 4 + 2 = 6

a₃ = 3² + 2 = 9 + 2 = 11

a₄ = 4² + 2 = 16 + 8 = 18

a₅ = 5² + 2 = 25 + 2 = 27

Therefore the first five terms of the given sequence

3, 6, 11, 18, 27

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In a survey conducted by a website, employers were asked if they had ever sent an employee home because they were dressed inappr

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Answer:

Test statistic Z = p diff/std error = 2.3333

p value one tailed = 0.009815

Step-by-step explanation:

Given that in a survey conducted by a website, employers were asked if they had ever sent an employee home because they were dressed inappropriately.

Sample size n = 2755

Sample favourable x = 967

Sample proportion p = $\frac{967}{2755} \\=0.3510$

$H_0: p = 0.3333\\H_a: p >0.3333$

(right tailed test at 5% significance level)

p difference = 0.0210

Standard error assuming H0 is true is $\sqrt{\frac{0.3333*0.6667}{2755} } \\=0.0090$

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2 years ago

Write an inequality to model the situation.

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Answer:

$n >21$

Step-by-step explanation:

The number exceeds 21 or is greater than 21.

‘ $>$ ’ represents greater than.

Let the number be $n$ .

$n >21$

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2 years ago

Read 2 more answers

Is 1/3, 2/3, 4/3, 8/3, 16/3 arithmetic sequence

11111nata11111 [884]

The given sequence is not arithmetic sequence

Solution:

Given sequence is:

$\frac{1}{3} , \frac{2}{3} , \frac{4}{3} , \frac{8}{3} , \frac{16}{3}$

We have to find if the above sequence is arithmetic sequence or not

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

Here in the given sequence

$\text{ first term } = a_1 = \frac{1}{3}\\\\\text{ second term } = a_2 = \frac{2}{3}\\\\\text{ third term } = a_3 = \frac{4}{3}\\\\\text{ fourth term } = a_4 = \frac{8}{3}\\\\\text{ fifth term } = a_5 = \frac{16}{3}$

Let us find the difference between terms

$a_2 - a_1 = \frac{2}{3} - \frac{1}{3} = \frac{1}{3}$

$a_3 - a_2 = \frac{4}{3} - \frac{2}{3} = \frac{2}{3}$

$a_4 - a_3 = \frac{8}{3} - \frac{4}{3} = \frac{4}{3}$

$a_5 - a_4 = \frac{16}{3} - \frac{8}{3} = \frac{8}{3}$

Thus the difference between terms is not constant

So the given sequence is not arithmetic sequence

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3 years ago

Convert American $553 in Nepal rupees

hodyreva [135]

Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Write the first five terms of the sequence. an=n2 +2​

Write the first five terms of the sequence. an=n2 +2