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zysi [14]
3 years ago
13

I want to i want to i want to

Mathematics
1 answer:
Rudik [331]3 years ago
7 0

Answer:

What do you mean?

Step-by-step explanation:

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What is the sum of the first 70 consecutive odd numbers? Explain.
expeople1 [14]

The sum of the first n odd numbers is n squared! So, the short answer is that the sum of the first 70 odd numbers is 70 squared, i.e. 4900.

Allow me to prove the result: odd numbers come in the form 2n-1, because 2n is always even, and the number immediately before an even number is always odd.

So, if we sum the first N odd numbers, we have

\displaystyle \sum_{i=1}^N 2i-1 = 2\sum_{i=1}^N i - \sum_{i=1}^N 1

The first sum is the sum of all integers from 1 to N, which is N(N+1)/2. We want twice this sum, so we have

\displaystyle 2\sum_{i=1}^N i = 2\cdot\dfrac{N(N+1)}{2}=N(N+1)

The second sum is simply the sum of N ones:

\underbrace{1+1+1\ldots+1}_{N\text{ times}}=N

So, the final result is

\displaystyle \sum_{i=1}^N 2i-1 = 2\sum_{i=1}^N i - \sum_{i=1}^N 1 = N(N+1)-N = N^2+N-N = N^2

which ends the proof.

5 0
3 years ago
How many hoursarea180minub
Dafna11 [192]
Solutions 

1hr = 60 min

180 ÷ 60 = 3 

<span>180 min = 3 hrs </span>
7 0
3 years ago
Read 2 more answers
•Please help, due tomorrow• Answer choices are given
Luda [366]

Answer:

Hii i just know the 4 and 5 one

Step-by-step explanation:

4 one is exterior

5 one is included angle

8 0
3 years ago
A spyware is trying to break into a system by guessing its password. It does not give up until it tries 1 million different pass
Anettt [7]

Answer:

Probability = 0.006033

Step-by-step explanation:

Given

Tries = 1000000

Required

Determine the probability of 6 different lower case letters <em>(Question continuation)</em>

<em />

There are 26 lower case letters.

The first can be any of letters 26

The second can be any of letters 26 - 1

The third can be any of letters 26 - 2

The fourth can be any of letters 26 - 3

The fifth can be any of letters 26 - 4

The sixth can be any of letters 26 - 5

Number of selection is:

Selection = 26 * (26 - 1) * (26 - 2) * (26 - 3) * (26 - 4) * (26 - 5)

Selection = 26 * 25 * 24 * 23 * 22 * 21

Selection = 165765600

The probability is:

Probability = \frac{Tries}{Selection}

Probability = \frac{1000000}{165765600}

Probability = 0.00603261472

<em></em>Probability = 0.006033<em> --- approximated</em>

6 0
3 years ago
Simplify. -3.7(4p - 7
Alchen [17]

Answer:

-14.8p+25.9

Step-by-step explanation:

got it right edge 2020.

3 0
3 years ago
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