All categories

2 years ago

Write the first six terms of the sequence f(n)=n^3+2

Mathematics

1 answer:

andrey2020 [161]2 years ago

4 0

Answer:

$3,10,29,66,127,218$

Step-by-step explanation:

$f(n) = n^3 +2\\\\f(1) = 1^3 +2 = 1+2=3\\\\f(2) =2^3 +2 = 8+2=10\\\\f(3)=3^3 +2 = 27+2 = 29\\\\f(4) = 4^3 +2 = 64 +2 = 66\\\\f(5) = 5^3 +2 = 125+2 = 127\\\\f(6) = 6^3 +2 = 216+2 = 218$

You might be interested in

15. Bhargav stops in at a deli to get lunch for

Colt1911 [192]

Each roast beef cost $4 and each vegetarian sandwich cost $2.5

Let x represent the cost of each roast beef and let y represent the cost of each vegetarian sandwich.

Bhargav buys five roast beef and three vegetarian sandwiches and the order costs $27.50. This can be represented by the equation:

5x + 3y = 27.50 (1)

Bhargav buys 2 roast beef and 6 vegetarian sandwiches and the order costs $23.00. This can be represented by the equation:

2x + 6y = 23.00 (2)

To find x and y, we have to solve equation 1 and 2 simultaneously. Multiply equation 1 by 2 and subtract equation 2 from the result:

8x = 32

x = 4

Put x = 4 in equation 2

2(4) + 6y = 23.00

6y = 15

y = 2.5

Therefore each roast beef cost $4 and each vegetarian sandwich cost $2.5

Find out more at: brainly.com/question/16763389

4 0

2 years ago

HELP NOwwwwWWWW ILL GIVE BRAINLIEST

Elza [17]

Answer: -7/3

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.

6 0

2 years ago

At a factory, the number of jars that need a lid is modeled by the function j(m)=-6m+600, where m is the number of minutes after

ryzh [129]

A is the answer too your question

6 0

3 years ago

An equation of a line through (-1,4) which is perpendicular to the line y = 4x + 1 and the slope is -1/4 what is the y-intercept

Ilya [14]

The equation of the line is $y=-\frac{1}{4}x+\frac{15}{4}$

The y - intercept of the equation is $\frac{15}{4}$

Explanation:

Given that the equation of the line is $y=4 x+1$ and the slope is $m=-\frac{1}{4}$

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting the point (-1,4) and the slope $m=-\frac{1}{4}$ , we get,

$y-4=-\frac{1}{4}(x+1)$

Simplifying, we get,

$y-4=-\frac{1}{4}x-\frac{1}{4}$

$y=-\frac{1}{4}x-\frac{1}{4}+4$

$y=-\frac{1}{4}x+\frac{15}{4}$

Thus, the equation of the line is $y=-\frac{1}{4}x+\frac{15}{4}$

<u>y - intercept:</u>

The y - intercept of the equation is value of y when x = 0

Hence, substituting x = 0 in the equation $y=-\frac{1}{4}x+\frac{15}{4}$ , we get,

$y=-\frac{1}{4}(0)+\frac{15}{4}$

$y=\frac{15}{4}$

Thus, the y - intercept of the equation is $\frac{15}{4}$

5 0

3 years ago

Alejandra spent her birthday money on a video game that costs $24, a controller for $13 , and memory card for $16. The total tax

JulsSmile [24]

If you add all of the costs together you get $56 dollars. If she received $4 in change she gave the cashier $60.

4 0

3 years ago

Read 2 more answers

Write the first six terms of the sequence f(n)=n^3+2​

Write the first six terms of the sequence f(n)=n^3+2