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Margaret [11]
3 years ago
9

What is the value of the 11th term in the following geometric sequence?

Mathematics
2 answers:
zhannawk [14.2K]3 years ago
8 0

we are given the geometric sequence -5, -10, -20, -40. The geometric factor of this sequence is equal to 2. In this case, the formula is expressed: an = -5* (2)^(n-1) where n is an integer. In this case, a11 is equal to -5* (2)^(11-1) equal to -5120. 
krok68 [10]3 years ago
4 0
The geometric sequence above is -5*2^(x-1)
plugging in 11 we get -5*2^10
which is -5120
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Solve for x. 10 + 5x +4 = -2x + x + 2
exis [7]

9514 1404 393

Answer:

  x = -2

Step-by-step explanation:

Collect terms.

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6 0
3 years ago
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............................
prohojiy [21]
Ahh yes, negative exponents always give us a scare once and a while. All the negative means is to flip the position of its base. For instance, if x has a negative exponent and x in the denominator, all you would have to do is move x to the numerator with the same power (except it's no longer negative). Before we substitute x and all the other variables which the values given, let's eliminate the negatives first.

After flipping positions/eliminating the negative exponents it should look like this:

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\frac{ 4 x^{3} }{ y^{5} }
now that everything is simplified, and all negative exponents are eliminated we can substitute x with 2, and y with (-4).
\frac{4 (2)^{3} }{ (-4)^{5} }
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Final Answer: - \frac{1}{32} [/tex]
4 0
3 years ago
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Answer:

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5 0
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musickatia [10]

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DerKrebs [107]
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