All categories

2 years ago

First four terms f(n)=n^3-n^2+1

Mathematics

2 answers:

g100num [7]2 years ago

5 0

Answer:

1, 5, 19, 49

Step-by-step explanation:

To obtain the first 4 terms substitute n = 1, 2, 3, 4 into f(n)

f(1) = 1³ - 1² + 1 = 1 - 1 + 1 = 1

f(2) = 2³ - 2² + 1 = 8 - 4 + 1 = 4 + 1 = 5

f(3) = 3³ - 3² + 1 = 27 - 9 + 1 = 18 + 1 = 19

f(4) = 4³ - 4² + 1 = 64 - 16 + 1 = 48 + 1 = 49

The first 4 terms are 1, 5, 19, 49

mrs_skeptik [129]2 years ago

3 0

Answer:

The function of this equation is: $F(n)=\frac{1}{4}n^4-\frac{1}{3}n^3+n+C$

Step-by-step explanation:

You might be interested in

A ball is launched out of a cannon that is 24 feet off the ground. The height of the ball after "t" seconds is represented by

Olegator [25]

Given:

The height of ball is represented by the below function:

$h(t)=-16t^2+20t+24$

To find:

The number of seconds it will take to reach the ground.

Solution:

We have,

$h(t)=-16t^2+20t+24$

At ground level, the height of ball is 0, i.e., $h(t)=0$ .

$-16t^2+20t+24=0$

Taking out greatest common factor.

$-4(4t^2-5t-6)=0$

$4t^2-5t-6=0$

Splitting the middle term, we get

$4t^2-8t+3t-6=0$

$4t(t-2)+3(t-2)=0$

$(t-2)(4t+3)=0$

Using zero product property, we get

$(t-2)=0$ and $(4t+3)=0$

$t=2$ and $t=-\dfrac{3}{4}$

Time cannot be negative, so $t=2$ .

Therefore, the ball will reach the ground after 2 seconds.

7 0

3 years ago

Please help!!!!!! this is due soon

inessss [21]

The last one is correct because the line is not going up or down it’s every where so it’s the last one

6 0

3 years ago

Please help i will do branily

Colt1911 [192]

For the first question the answer would be 1/3 divided by 3 for the second question it would be units of 1 divided into 9 equal parts

5 0

2 years ago

Read 2 more answers

P+29=³√x make x the subject

Ksivusya [100]

Answer:

Step-by-step explanation:

P+29=³√x

Find the cube of both side

(P+29)³=(³√x)³

(P+29)³=x

7 0

3 years ago

The product of -4 and the number is greater than or equal to 8

pishuonlain [190]

Answer:

it would be -2 or higher

4 0

3 years ago