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DIA [1.3K]
3 years ago
6

Please could someone explain this to me?

Mathematics
1 answer:
qwelly [4]3 years ago
4 0
Ok so A is the same as the square root of 4b+c but all of the numbers and the answer have to be prime numbers
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Find a recursive formula for the sequence:<br><br> 1, -1, -7, -25
Mumz [18]
<h3>Answer:</h3>

a_n=3a_{n-1}-4

<h3>Step-by-step explanation:</h3>

<em>Try the answers</em>

You can try the answers to see what works. You can expect all of the choices to match the first two terms, so try some farther down. Let's see if we can get -25 from -7.

a) 3*(-7) -4 = -21 -4 = -25 . . . . this one works

b) -7 -2 = -9 . . . . ≠ -25

c) -3(-7) +2 = 21 +2 = 23 . . . . ≠ -25

d) -2(-7) +1 = 14 +1 = 15 . . . . ≠ -25

The formula that works is the first one.

_____

<em>Derive it</em>

All these formulas depend on the previous term only, so we can write equations that show the required relationships. Let the unknown coefficients in our recursion formula be p and q, as in ...

a_n=p\cdot a_{n-1}+q

Then, to get the second term from the first, we have

... 1·p +q = -1

And to get the third term from the second, we have

... -1·p +q = -7

Subtracting the second equation from the first gives ...

... 2p = 6

... p = 3 . . . . . . . this is sufficient to identify the first answer as correct

We can find q from the first equation.

... q = -1 -p = -1 -3 = -4

So, our recursion relation is ...

a_n=3a_{n-1}-4

6 0
3 years ago
What is 64 mi/h =_____ft/s ?
victus00 [196]
31.288889,because hours have 60 min,1 min have 60 seconds so you will do 64/60=1.066666667/60=.0177777778
6 0
3 years ago
Solve –2x2 +3x – 9 = 0. (solving quadratic equation with complex numbers)..
goldfiish [28.3K]
-3+-sqrt9-56/-4
-3+-sqrt-47/-4
-3+-sqrt47i/-4

4 0
3 years ago
In which square is 25% not shaded
Ipatiy [6.2K]
Square D because 2/8 are not shaded. 2/8=1/4 and 1/4=25%
7 0
3 years ago
Read 2 more answers
Suppose the population of a town is 567 in 2001. The population decreases at a rate of 1.5% every year. What will be the populat
igomit [66]

for the formula is

 Y = starting population x (1-rate of change)^number of years

2010-2001 = 9

Y= 567 x (1-0.015)^9 = 494.89, round up to 495 people

7 0
3 years ago
Read 2 more answers
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