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OverLord2011 [107]
3 years ago
8

14. Tell whether the sequence 1 3 , 0, 1, −2 … is arithmetic, geometric, or neither. Find the next three terms of the sequence.

Type your answer in the blank to the left. A. neither; 7, -20, 61 B. geometric;7, -20, 61 C. arithmetic; − 1 3 , 1 1 3 , 3 D. geometric;−3 1 3 , −5 5 9 , −9 7 27
Mathematics
2 answers:
Illusion [34]3 years ago
8 0
1/3, 0,1,-2.....neither geometric or arithmetic
Anna11 [10]3 years ago
5 0

Answer:

A. neither; 7, -20, 61

Step-by-step explanation:

\frac{1}{3} , 0 , 1, -2.....

If it is arithmetic then the difference between two terms should be a constant

Lets find the difference between two terms

0 - 0 - \frac{1}{3} = -\frac{1}{3}

1 - 0 = 1

-2 -1 = -3

 the difference is not a constant so it is not arithmetic.

If it is Geometric then the ratio between two terms should be same

\frac{0}{\frac{1}{3}} =0

1 divide by 0 is undefined

-2 divide by 1 = -2

the ratio is also not same. So it is not Geometric

The sequence is neither arithmetic nor geometric

neither; 7, -20, 61

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Answer: 0.8238

Step-by-step explanation:

Given : Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with \mu=106 and \sigma=15.

Let x denotes the scores on a certain intelligence test for children between ages 13 and 15 years.

Then, the proportion of children aged 13 to 15 years old have scores on this test above 92 will be :-

P(x>92)=1-P(x\leq92)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{92-106}{15})\\\\=1-P(z\leq })\\\\=1-P(z\leq-0.93)=1-(1-P(z\leq0.93))\ \ [\because\ P(Z\leq -z)=1-P(Z\leq z)]\\\\=P(z\leq0.93)=0.8238\ \ [\text{By using z-value table.}]

Hence, the proportion of children aged 13 to 15 years old have scores on this test above 92 = 0.8238

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