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GuDViN [60]
3 years ago
13

How do I write a recursive formula for this sequence? 2, 6, 18, 54, 162, ... I already know the common difference is x3.

Mathematics
1 answer:
dmitriy555 [2]3 years ago
4 0
For the sequence 2, 6, 18, 54, ..., the explicit formula is: an = a1 ! rn"1 = 2 ! 3n"1 , and the recursive formula is: a1 = 2, an+1 = an ! 3 . In each case, successively replacing n by 1, 2, 3, ... will yield the terms of the sequence. See the examples below.
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1) ⁴/₃ = ¹⁰/x<br><br> Hdhdvdjns be ivncifj <br><br> (Ignore this )
ArbitrLikvidat [17]

Answer:

x = 7.5

Step-by-step explanation:

10/4 = 2.5

x = 3 × 2.5 = 7.5

Another way

x = 3/4 × 10 = 7.5

5 0
3 years ago
Michelle is building a rectangular landing strip for airplanes .She has material to cover 1/1,500 of a square mile. The landing
ANEK [815]
I think that the missing word here is:
"with the amount of the material that Michelle has"

Let's say that her landing strip is x miles long, then its area would be:


\frac{1}{6} *x

We also know how big it is:

\frac{1}{6} *x= \frac{1}{1 500}

now, let's multiply both sides by 6:
\frac{6}{6} *x= \frac{6}{1 500}
1 *x= \frac{3}{750}
x= \frac{1}{250}


So the answer is that it would be x= \frac{1}{250} miles wide






3 0
3 years ago
F(n+1)=f(n)-3 f(1)=15
Trava [24]

Answer:

f(n+1) = 13

Step-by-step explanation:

  • We know that f(1) = 15
  • So we can substitute this for f(n)-3
  • With this:
  1. f(n+1) = f(1) -3
  2. f(n+1) = 15-2
  3. f(n+1) = 13
5 0
3 years ago
The function y = x * ln(x + e) has two distinct x intercepts. One is at x = a and the other is at x = b. The value of a + b is
Snezhnost [94]
As points, x-intercepts take the form (x,0), so to find the intercepts we can set y=0 and solve for x.

x\ln(x+e)=0\implies\begin{cases}x=0\\\ln(x+e)=0\end{cases}

From the first equation alone, we already know that x=0 is a solution, which means one intercept is (0,0).

The second equation gives

\ln(x+e)=0\implies e^{\ln(x+e)}=e^0\implies x+e=1\implies x=1-e

so that the second intercept occurs at (1-e,0).

So if a=0 and b=1-e, we have a+b=1-e, giving C as the answer.
3 0
3 years ago
Angle of depression from point a to point c
Arisa [49]

Answer:

32°

Step-by-step explanation:

90 - 58 = 32

4 0
3 years ago
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