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photoshop1234 [79]
3 years ago
6

Find the 8th term of the geometric sequence 4 , − 20 , 100

Mathematics
1 answer:
fgiga [73]3 years ago
7 0

Answer:

− 312500

Step-by-step explanation:

Whenever looking at sequences, you have to attempt to find a common factor between the members of that sequence, be it the difference between them, a common divisor, a common multiplier, etc. In this case, we can see that if we divide each member by the previous one, we get a the same number:

100/-20 = -5

-20/4 = -5

So our sequence, starting at 4 is represented by the following recursive equation:  

Hope this helps. :D

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Step-by-step explanation:

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If you logically think about how the answer (now that you know it) relates to the question, it should make simple sense.

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Which statement about the following equation is true?<br>2x2-9x+2-1​
Furkat [3]

Complete Question:

Which statement about the following equation is true?

2x^2-9x+2 = -1

A) The discriminant is less than 0, so there are two real roots

B) The discriminant is less than 0, so there are two complex roots

C) The discriminant is greater than 0, so there are two real roots

D) The discriminant is greater than 0, so there are two complex roots

Answer:

C) The discriminant is greater than 0, so there are two real roots

Step-by-step explanation:

The given equation is 2x^2-9x+2 = -1 which by simplification becomes

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If the discriminant D is equal to 0, the roots are real and equal

If the discriminant D is less than 0, the roots are imaginary

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Let us calculate the discriminant D

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Since the Discriminant D is greater than 0, the roots are real and different.

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