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4 years ago

What is the second step to prove that Sn=>2+2^2+2^3+...+2^n=2(2^n-1)?

Mathematics

1 answer:

meriva4 years ago

4 0

Answer:

Assume that Sn is valid for n = k and prove that Sn is valid for n = k + 1.

Step-by-step explanation:

This is the second step in the principal of mathematical induction. The three steps in the principals of mathematical induction are:

1. show that something works for the first case (base or anchor step)

2. assume that it works for any particular step (inductive hypothesis), and then

3. show that it works for the next case (inductive step)

p. 621 in textbook

It's weird that they put steps 2 & 3 together, but it was correct on the test so ¯\_(ツ)_/¯

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If a silver alloy that costs $4.50 an ounce is

Nitella [24]

6.5X + 9(30) = 8(30+X)6.5X +270 = 240 + 8X270-240 = 8X-6.5X1.5X = 30X = 30/1.5 =20 ounces of $6.50 alloy9 is within 1 of 86.5 is within 1.5 of 81.5 is 3/2 of 130 is 3/2 of 20You know you need more of $9 alloy since it's closer to $8You need exactly 3/2 or 1.5 times more of the $9 alloy30 is 1.5 times 20

5 0

2 years ago

Read 2 more answers

Given that g(x)=2x^2-5. Calculate g(x+4)+2

Dimas [21]

Answer:

$2x^2+16x+29$

Step-by-step explanation:

Given that,

$g(x)=2x^2-5$

We need to find g(x+4)+2

$g(x+4)=2(x+4)^2-5\\\\=2(x^2+16+8x)-5\\\\=2x^2+32+16x-5\\\\=2x^2+16x+27$

Now,

$g(x+4)+2=2x^2+16x+27+2\\\\=2x^2+16x+29$

So, the value of $g(x+4)+2$ is $2x^2+16x+29$

7 0

3 years ago

I need help with this problem. -1 > -2(x - 4) - 5(4x - 7). I looked at example for this kind of problem and can't finger it o

gregori [183]

If you are looking to solve for x, use the distributive property to expand the inequality and then combine like terms. Once you are able to, isolate x and solve

$- 1 > - 2(x - 4) - 5(4x - 7) \\ - 1 > - 2x + 8 - 20x + 35 \\ - 1 > - 22x + 43 \\ 22x > 43 + 1 \\ 22x > 44 \\ x > 2$

5 0

4 years ago

A city's population is increasing at a rate of 2% per year.

Mariana [72]

Based on the information the number of people that will there after 20 years is: d.) 2.97 million.

Using this formula

P(t) = Population ×(1+ rate)^t

Where:

Population=2 million

rate=2%

time=20 years

Let plug in the formula

P(t) = 2×(1+.02)^20

P(t) = 2×(1.02)^20

P(t) = 2×1.485947

P(t) = 2.97 million

Inconclusion the number of people that will there after 20 years is: d.) 2.97 million.

Learn more about population here:brainly.com/question/25630111

6 0

3 years ago

3(8+9) there is nothing

astra-53 [7]

Answer:

Step-by-step explanation:

3(8+9) = Parenthesis
3(17) = Multiplication
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5 0

3 years ago