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aniked [119]
3 years ago
15

Which of the following choices is the simple formula for the nth term of the following arithmetic sequence?

Mathematics
1 answer:
VladimirAG [237]3 years ago
4 0
First, we start off with the nth term formula for an arithmetic sequence, which is 
a_{n} =a_{1}+(n-1)d

plug in the sequence numbers where they belong

a_{n}=5+(n-1)*(-4)

a_{n}=5+(-4n+4)
a_{n}=5-4n+4
a_{n}=-4n+9

And this is the final answer
-4n+9
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What are the solutions of the quadratic equation 0 = 4(x - 3)2 - 16?
erastovalidia [21]

Answer:

 x = 5, x = 1

Step-by-step explanation:

The quadratic equation 0 = 4(x - 3)2 - 16.

Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.

0 = 4(x2 - 6x + 9 ) - 16.

Using distributive property to multiply 4 by x2 - 6x + 9.

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Rewriting x2 - 6x + 5 as

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