All categories

3 years ago

A sequence is defined recursively by f(1)=16 and f(n)= f(n-1)+2n. Find f(4)

Mathematics

1 answer:

lord [1]3 years ago

8 0

Hi,

f(1)=16
f(2)=f(1)+2*2=16+4=20
f(3)=f(2)+2*3=20+6=26
f(4)=f(3)+2*4=26+8=34

You might be interested in

What is 6 percent of 35 dollars

lesya692 [45]

The answer is 2.1 US dollars,

4 0

3 years ago

Read 2 more answers

If h(x) = 5 x and k(x)=1/x, which expression is equivalent to (koh)(x)?

Anestetic [448]

$(k\circ h)(x)=k(h(x))$

$\displaystyle k(h(x))= \frac{1}{h(x)}= \frac{1}{5x}$

6 0

3 years ago

Read 2 more answers

The bearing of point Y from point X is 070°.

Shkiper50 [21]

The bearing of point X <u>from</u> point Z is 285°

<h3>Calculating bearings </h3>

From the question, we are to determine the bearing of point X from point Z.

Consider the diagram attached

The bearing of point X <u>from</u> point Z is the measure of the angle from the North of Z in the <u>clockwise direction</u> to the line that goes to X.

That is,

The bearing of point X from point Z = 270° + 15°

The bearing of point X from point Z = 285°

Hence, the bearing of point X from point Z is 285°

Learn more on Calculating bearings here: brainly.com/question/22719608

#SPJ1

6 0

2 years ago

Help! how would i work this out??

Alina [70]

Answer:

i can see it

Step-by-step explanation:

6 0

3 years ago

How many gallons each of 20% alcohol and 10% alcohol should be mixed to obtain 10gal of 11% alcohol?

Scilla [17]

Answer:

20% alcohol = 1 gal

10% alcohol = 9 gal

Step-by-step explanation:

Let

x = 20% alcohol

y = 10% alcohol

x + y = 10 (1)

0.20x + 0.10y = 10*0.11

0.20x + 0.10y = 1.1 (2)

From (1)

x = 10 - y

Substitute x = 10 - y into (2)

0.20x + 0.10y = 1.1

0.20(10 - y) + 0.10y = 1.1

2 - 0.20y + 0.10y = 1.1

- 0.20y + 0.10y = 1.1 - 2

-0.10y = -0.9

y = -0.9/-0.10

y = 9 gal

substitute y = 9 into (1)

x + y = 10

x + 9 = 10

x = 10 - 9

x = 1 gal

20% alcohol = 1 gal

10% alcohol = 9 gal

6 0

3 years ago