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AysviL [449]
3 years ago
8

Formulate the recursive formula for the following geometric sequence. {-16, 4, -1, ...}

Mathematics
2 answers:
marshall27 [118]3 years ago
7 0

The first term is -16, so we have

... a[1] = -16

Each term is -1/4 of the one before it, so the recursive rule is

... a[n+1] = (-1/4)a[n]

icang [17]3 years ago
3 0

Answer:


Step-by-step explanation:

each term is negative and 1/4 of previous term so the nth term is the n-1 term times -1/4 so f(n)= -1/4 f(n-1)

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3 years ago
Mr Thompson please help with my new HW
sesenic [268]

Answers:

  1. C) x = plus/minus 11
  2. B) No real solutions
  3. C) Two solutions
  4. A) One solution
  5. The value <u>  18  </u> goes in the first blank. The value <u>  17  </u> goes in the second blank.

========================================================

Explanations:

  1. Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
  2. There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
  3. The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
  4. We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
  5. Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
3 0
3 years ago
NEED HELP ASAP PLEASE
professor190 [17]
No idea sorry! If I knew I would tell you
7 0
2 years ago
Read 2 more answers
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