All categories

2 years ago

What is the formula of the sequence 3, 6, 10, 15, 21?

Mathematics

2 answers:

poizon [28]2 years ago

4 0

Answer:

$a_{n} = \frac{n^{2}}{2} +\frac{3n}{2} +1$

hope this helps! <3

AleksAgata [21]2 years ago

3 0

Answer:

Tn=12n(n+1)

Step-by-step explanation:

Explanation:

These are the triangular numbers - each term in the sequence being the sum of the first n positive integers:

T1=1=1

T2=3=1+2

T3=6=1+2+3

etc.

Notice that:

2Tn=(0)+1+(0)+2+...+(n−1)+(0)+n

2Tn+(0)+n+(n−1)+...+(0)+2+(0)+1

2Tn=(n+1)+(n+1)+...+(n+1)+(n+1)

2Tn=n(n+1)

So:

Tn=12n(n+1)

You might be interested in

Math problem- find volume of cone -thank you

ryzh [129]

Answer:

V=125pi=125*3.14/3=130.83

Step-by-step explanation:

V=pi*5^2*5/3=125pi/3

5 0

3 years ago

Write a function rule for the table. x ƒ(x) 3 –1 4 0 5 1 6 2

MaRussiya [10]

Answer:

Step-by-step explanation:

When one variable depends on another variable according to a rule it is known as function:

For example if you want an output of 2 and the input value is 4. Then you will subtract 4 from x

We have to find x f(x).

x f(x) =?

f(x) = x-4

Now input value is: x= 3

x f(x)

3 (x-4)

3 (3-4)

3 -1

Now x= 4

x f(x)

4 (x-4)

4 (4-4)

4 0

Now x=5

x f(x)

5 (x-4)

5 (5-4)

5 1

Now x=6

x f(x)

6 (x-4)

6 (6-4)

6 2 ....

3 0

3 years ago

Flip 10000 fair coins. You are offered a 1-1 bet that the sum is less than 5000. You can bet 1, 2, ..., 100 dollars. How much wi

insens350 [35]

Answer:

Step-by-step explanation:

Given that 10000 times a fair coin is flipped. Since fair coin prob for head of tail =0.5

If tail comes it will be taken as 1. Hence for the sum to be less than 5000, no of heads <5000

Since trials are large we approximate to normal with mean = np = 5000 and variance = np(1-p) = 2500

Thus no of heads x is normal with (5000, 50)

$P(X$

Since this prob is less than 0.5 only minimum amount to be bet i.e. 1 dollar

If sum of coins <5100, then Z = $\frac{5100-5000}{50} =2$

P(Z<2) = 0.9500

This time we can bet maximum of 100 dollars as probability is very high nearer to 1.

4 0

4 years ago

Please help I will reward brainly! Need done ASAP

hoa [83]

Fort Sumter, Battle of Bull Run, Battle of Shiloh, Battle of Vicksburg and Battle of Gettysburg

6 0

4 years ago

Which equation correctly applies the distributive property?

Step2247 [10]

Answer: Only Option 'C' is correct.

Step-by-step explanation:

Since we have given that

Distributive property states that

$a\times (b+c+d)=a\times b+a\times c+a\times d$

According to option 'C', we get that

a = 0.5

b = 0.5

c = 0.3

d = 0.2

So, it is written as

$0.5(0.5+0.3+0.2)=0.5\times 0.5+0.5\times 0.3+0.5\times 0.2$

Hence, only Option 'C' is correct.

3 0

3 years ago

What is the formula of the sequence 3, 6, 10, 15, 21?​

What is the formula of the sequence 3, 6, 10, 15, 21?