3 years ago

Can someone help me answer this ?

Mathematics

1 answer:

pantera1 [17]3 years ago

7 0

Checkboxes 1,2,5 are correct. hope it helps

You might be interested in

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

Add. [12 −6 −10]+[−2 14 5 15]

lions [1.4K]

Answer:

Step-by-step explanation:

8 0

3 years ago

Josie took a road trip. She drove for 45 minutes at 70 miles per hour. Then she drove for 15 minutes at 20 miles per hour. How f

fomenos

C. I'm pretty sure that's the answer I hope it helps

8 0

2 years ago

Read 2 more answers

Solve -(1+7x) - 6(-7 - x) = 36

Lelu [443]

Answer:

x = 5

Step-by-step explanation:

5 0

3 years ago

If y varies directly as x, and x = 48 when y = 6, find y<br> when x = 12.

pentagon [3]

Answer: Each time the pentagon is rotated , it maps back onto itself. There are five values of for which the pentagon maps back onto itself. This is the same as the number of sides of the pentagon.

6 0

3 years ago

Read 2 more answers