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Mamont248 [21]
2 years ago
9

Equations with the distributive property answer key please

Mathematics
1 answer:
masha68 [24]2 years ago
5 0

Answer:

which one there are tons

Step-by-step explanation:

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Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks​
Iteru [2.4K]

Let

P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

P(1):\ 1 = \dfrac{1\cdot 2}{2}=1

So, the base case is ok. Now, we need to assume P(n) and prove P(n+1).

P(n+1) states that

P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}

Since we're assuming P(n), we can substitute the sum of the first n terms with their expression:

\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}

Which terminates the proof, since we showed that

P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}

as required

4 0
3 years ago
Please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
andrew11 [14]

Answer: A is (arithmetic sequence)

and D is 1 2 3 4 5 6 7

Unfortunately, I only know the answer to those two.

Sorry.

5 0
2 years ago
A spherical balloon has a circumference of 23 cm. What is the approximate surface area of the balloon to the nearest square cent
Bad White [126]
168cm2
Let r cm be the radius of the balloon, then 
<span>2pi(r)=23=>r=23/(2pi) </span>
<span>The surface area= </span>
<span>4pi(r^2)= </span>
<span>4pi[23/2pi)]^2= </span>
<span>(23^2)/pi=168.386 cm^2 </span>
<span>approximately.</span>
7 0
3 years ago
PLZZZZZZZZZZZZZZZ HELP I HAVE NO CLUE ON WHAT THE ANSWER ARE!!! PLZZZZZZZZZZZZZZZZZZZZZZZZZ HELP!!!!
koban [17]

Answer:

It would be B & E

Step-by-step explanation:

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2 years ago
Find two pairs of integers whose sum is -6
aalyn [17]
<span>Find all pairs of consecutive even integers whose sum is greater than 73 but less than 79.

</span>
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2 years ago
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