1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
grigory [225]
3 years ago
12

Find the 5th term of the sequence defined by the give rule. f(n) = n²+ 5. A step by step explanation with answer would be greatl

y helpful.
Mathematics
1 answer:
skad [1K]3 years ago
3 0

Answer:

<h3>The 5th term is 30</h3>

Step-by-step explanation:

Given the formula

f(n) = n² + 5

where n is the number of terms

So from the question we were told to find the 5th term that's

n = 5

In order to find the 5th term substitute the value of n that's 5 into the rule

We have

f(5) = 5² + 5

= 25 + 5

= 30

<h3>f(5) = 30</h3>

So the 5th term of the sequence in the given rule is 30

Hope this helps you

You might be interested in
Use the method of Gauss to find the sum.1+2+3+.....+400
nikklg [1K]
Gauss' method for addition relies on the fact that you can 'pair' certain numbers together. Look at the example:

1+2+3+4+5+6+7+8+9+10

We could manually add all these together from left to right but a clever way to think about this is if we add together the ends of the sum (10+1) we get 11. If we then move one in from the ends and add these (2+9) we also get 11. This means that 1+2+...+9+10 is the same as 11+11+...+11+11.

Because each 2 numbers adds to 11 we know the total number of 11's we have to add together is the length of the sum divided by 2. In our case 5 (10 ÷ 2). We need to add 5 lots of 11 to get our answer. This is the same as 11 × 5 which is easily seen to be 55.

(If you add the 10 numbers together on a calculator you'll see 1+2+3+4+5+6+7+8+9+10 = 55) so this method really makes it a lot quicker.

Looking at your sequence, if we pair the ends together we get 401 (400+1) and we multiply this by the length of the sequence divided by 2. In your case, 200 (400 ÷ 2).

So the sum of all the numbers from 1 to 400 must be 401 × 200 = 80,200.

Remember the steps:
1. Pair the ends together and add them
2. Times this number by the length of the sequence halved

Hope this helps.
6 0
3 years ago
A computer tablet is 0.24 meter long. How long is the computer tablet in centimeters? Please show work
AysviL [449]

Answer:

1 meter equals 100 centimeters, to find out how many centimeters you want to take 0.24*100= 2.4,

Therefore; the computer tablet is 24 centimeters long.

8 0
2 years ago
One of the heaviest rainfalls recorded in Greentown in a 24-hour period was 178.8 centimeters. If the rainfall was constant. how
Fittoniya [83]

Answer:

7.45cm

Step-by-step explanation:

178.8 ÷ 24 hours = 7.45 centimetres per hour.

7 0
3 years ago
Find the area of a parallelogram with base b and height h b=74 cm h=14.8 cm
dexar [7]

The answer is A. 88.8 cm2

Work:

74 x 2 = 148

14.8 = 29.6

Add them = 177.6

then \frac{177.6}{2} = 88.8

5 0
3 years ago
Read 2 more answers
Same this for me but 6,912 and 288 please help
Svetllana [295]

Answer:

what is the question

Step-by-step explanation:

Questions for answers

4 0
3 years ago
Other questions:
  • A horse is tied with rope in the center of grassland to graze. The length of the rope is 5m. The diameter of the circular garden
    15·1 answer
  • I need help asap no rocky
    9·1 answer
  • SULVING MUL<br>1) 5x + 2 + 4x = -7​
    9·1 answer
  • Help please thank you and also show the work please
    9·1 answer
  • In one version of a trail mix there 4 cups of peanuts mixed with 2 cups of raisins. In another version of trail mix there are 6
    11·1 answer
  • HELP AGAIN AGAIN AGAIN AGAIN FOR BRAINLIEST AND points
    7·1 answer
  • The sum of two numbers is 92. their difference is 20. what are the two numbers?
    10·1 answer
  • Which equation is NOT true when k = -18?
    5·2 answers
  • On weekends, Ben mops the kitchen floor. Below is an image that shows
    5·1 answer
  • Question b only please
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!