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Greeley [361]
3 years ago
11

The nth term of a sequence is n squared + 1. Find the 100th term

Mathematics
2 answers:
murzikaleks [220]3 years ago
8 0
The answer would be 10,001
Tom [10]3 years ago
6 0
100 squared is 10,000.
10,000 + 1 = 10,001
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Use the equation e^x+e^-x/e^x-e^-x=t tosolve for x
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Solve the rational equation by combining expressions and isolating the variable  

<h2>x = ln ( t − √ t ^2 + 4  )/2</h2><h2>x = ln ( t +√ t ^2 + 4  )/2</h2>

4 0
3 years ago
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Naddika [18.5K]

Step-by-step explanation:

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6 0
2 years ago
Find all the zeros of the polynomial function p(x) = x3 – 5x2 + 33x – 29
hram777 [196]

Answer:

\large \boxed{\sf \ \ x=1, \ \ x=2+5i, \ \ x=2-5i \ \ }

Step-by-step explanation:

Hello,

I assume that we are working in \mathbb{C}, otherwise there is only one zero which is 1. Please consider the following.

First of all, <u>we can notice that 1 is a trivial solution</u> as

   p(1) = 1^3-5\cdot 1^2 + 33\cdot 1-29=1-5+33-29=0

It means that (x-1) is a factor of p(x) so we can find two real numbers, a and b, so that we can write the following.

p(x)=(x-1)(x^2+ax+b)=x^3+ax^2+bx-x^2-ax-b=x^3+(a-1)x^2+(b-a)x-b

Let's identify like terms as below.

a-1 = -5 <=> a = -5 + 1 = -4

b-a = 33

-b = -29 <=> b = 29

So

\boxed{ \ p(x)=(x-1)(x^2-4x+29) \ }

Now, we need to find the zeroes of the second factor, meaning finding x so that:

x^2-4x+29=0 \ \text{ complete the square, 29 = 25 + 4}  \\ \\  x^2-2\cdot 2 \cdot x+2^2+25=0 \\ \\ (x-2)^2=-25=(5i)^2 \ \text{ take the root } \\ \\x-2=\pm 5i \ \text{ add 2 } \\ \\  x = 2+5i \ \text{ or } \ x = 2-5i

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0
3 years ago
Julie ran 32.4 miles in May and 35.8 miles in June. Greg ran the same total distance as Julie, but only ran 29.6 miles in May. H
ankoles [38]
You take the amount of miles julie did and subtract the amount that greg did in may to get the total distance he ran in june which is 2.8
6 0
3 years ago
I need help on number 8 please
belka [17]
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8 0
2 years ago
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