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3 years ago

Consider the sequence -2, 6, -18, 54,

Mathematics

1 answer:

hram777 [196]3 years ago

6 0

Answer: The sequence is geometric

Step-by-step explanation:

In an arithmetic sequence, the consecutive terms differ by a common difference and this difference is linear.

Common difference = given term - the term before it

In geometric progression, the consecutive terms differ by a common ratio this difference is exponential.

Common ratio = given term/the term before it

Looking at the given sequence,

1) d = 6 - - 2 is not equal to - 18 - 6

Therefore, it is not an arithmetic sequence

2) r = 6/- 2 = - 18/6 = - 3

Therefore, it is a geometric sequence.

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Answer:

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2 years ago

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3 years ago

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Two factory plants are making TV panels. Yesterday, Plant A produced 16,000 panels. Five percent of the panels from Plant A and

weeeeeb [17]

Answer:

Number of panels produced by Plant B is 8,000.

Step-by-step explanation:

The number of panels produced by Plant A = 16,000

The number of defective panels from A = 5%

Now, 5% of 16,000 = $\frac{5}{100} \times 16,000 = 800$

So, out of 16,000 panels produced by pant A , 800 are defective. .. (1)

Let us assume number of panels produced by Plant B = m

The number of defective panels from B = 2%

Now, 2% of m = $\frac{2}{100} \times m = 0.02 m$

So, out of total m panels produced by pant B , 0.02 m are defective. .. (2)

Now, total panels produced over all = Panels by A + Panels by B

= 16,000 + m

The percentage of defected panels over all = 4%

Now, 4% of (16,000 + m) = $\frac{4}{100} \times (16,000+m) = (0.04)(16,000 + m)$

Also, the total number of defective panels = Defective from A + Defective from B

⇒(0.04)(16,000 + m) = 800 + 0.02 m from (1) and (2)

or, 640 + 0.04 m = 800 + 0.02

or, 0.02 m = 160

⇒ m = 160 /0.02 = 8,000

or, m = 8,000

Hence, Number of panels produced by Plant B is 8,000.

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3 years ago