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bija089 [108]
3 years ago
12

.

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
7 0
I'm unsure what the middle term is, but a x^2 equation always has 2 solutions. Although sometimes they are not both real 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
All the ways to multiply to get 65
aniked [119]

Answer:

1*65  

5*13

that is all answers one through twelve

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve triangle ABC, when A= 6, B=10 and c=12
valentinak56 [21]
Use cosine rule,

cos(A)=(b^2+c^2-a^2)/(2bc)
=(10^2+12^2-6^2)/(2*10*12)
=13/15
A=29.926 degrees.................................(A)

cos(B)=(c^2+a^2-b^2)/(2ca)
=(12^2+6^2-10^2)/(2*12*6)
=5/9
B=56.251 degrees.................................(B)

cos(C)=(a^2+b^2-c^2)/(2ab)
=(6^2+10^2-12^2)/(2*6*10)
=-1/15
C=93.823 degrees.................................(C)

Check:29.926+56.251+93.823=180.0 degrees....ok
5 0
3 years ago
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Bogdan [553]

In 4 or more complete sentences, describe the process of protein synthesis and explain how transcription and translation creates protein.

8 0
3 years ago
I dont understand what i did wrong please help
Degger [83]

Answer:

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3 0
3 years ago
Read 2 more answers
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