All categories

3 years ago

Write a formula for the sequence of cube numbers: 1, 8, 27, 64, ….

Mathematics

1 answer:

Marianna [84]3 years ago

4 0

Answer: $n^3$ , where n = 1,2,3,4,.....

Step-by-step explanation:

The given sequence : 1, 8, 27, 64, ….

We observe that the terms are perfect cubes of consecutive integers (starting from 1) .

Terms can be written as:

First term = $a_1=1=1^3$

Second term= $a_2=8=2^3$

Third term = $a_3=27=3^3$

Fourth term = $a_4=64=4^3$

Thus , for any nth term ,the formula for the sequence is : $n^3$ , where n = 1,2,3,4,.....

You might be interested in

R= 2s-6t 5 divided by 2, solve for s

ki77a [65]

R = (2s - 6t + 5)/2
2R = 2s - 6t + 5
2s = 2R + 6t - 5
s = (2R + 6t - 5)/2

8 0

3 years ago

I am once again asking the mathematical geniuses of the world to solve a rather simple problem that my small brain can't compreh

Nitella [24]

Ooh ok these are fun. So these triangles are similar, meaning they are in proportion. In triangle LMN, line LM is 21. To find the corresponding line on the other triangle, we need to find the corresponding letters in the names. Because L and M are the first two letters, we need to use the first two letter s in the other name, so FG. Line FG is 9, so our first proportion is 9/21

6 0

2 years ago

Read 2 more answers

What would you have to do to make the line y = 2x -7 steeper on the coordinate plane?

ValentinkaMS [17]

The slope, if increased, would make the line y=2x-7 steeper. If you were to increase the y intercept, you would just move the line, not tilt it. Suggest changing it to 4x-7 = y or 8x-7= y, if you increase the slope, it'll make it steeper.

6 0

3 years ago

Use the law of Sines to find the missing angle of the triangle. <br> Find m

Whitepunk [10]

Ah...Trigonometry is fun!

The law of sines states:
$\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}$
The transitive property (switching the orders of the equations) applies here. Therfore, we can say that $\frac{sinA}{a}=\frac{sinC}{c}$

We then plug in our given values to find C

$\frac{sin24}{77}=\frac{sinC}{162}$
$\frac{162*sin24}{77}=sinC$
Solving, we get 0.8557316387. We're not done yet!

We are trying to find an angle measure, so we'll do the inverse of the ratio we used (sin).

arcsin0.8557316387 (arcsin is the same as inverse sin)
=58.8 (approximate)

So the measure of angle C is 58.8. You could check this by reinserting it into the equation $\frac{sinA}{a}= \frac{sinB}{b} = \frac{sinC}{c}$ .

:)

6 0

3 years ago

the diameter of a gigantic Ferris wheel is 185 meters. if a man rides a ferris wheel for one revolution find how far he travels

lidiya [134]

Answer:

Step-by-step explanation:

You need to find out the circumference of the Ferris wheel

C=d*3.14=185*3.14=580.90 m

6 0

3 years ago