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Snezhnost [94]
3 years ago
15

1^2 + 4^2 + 7^2 + ... + (3n - 2)^2 = n(6n^2-3n-1)/2

Mathematics
1 answer:
vlabodo [156]3 years ago
7 0
Use math induction proof method will be usefully 

for n=1 will get 

1^2 = 1(6*1^2 -3*1 -1)/2
1 = 1(6-4)/2
1 = 1(2)/2
1 = 1

suppose true for n=k and prove for k = k+1 

hope this will help you 
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Susan bought a bike for $93.75. If the bike was originally $125, what was the percent of discount?
4vir4ik [10]

Answer:

The discount is 25%

Step-by-step explanation:

Divide 93.75 by 125 = 75%

however, that is not the discount.

it is the difference of the 100 and the discount.

to find the discount, you do 100 - 75 = 25

6 0
3 years ago
QUESTION 3: POCKET MONEY Mr Reyan made an agreement with his son Smith who is studying in grade 12 as follows. Smith will get po
const2013 [10]

The formula for obtaining the value of a term of a sequence is given as a

as a recursive formula.

Responses:

  • The information as a sequence is; R1, 2·R1, 4·R1, 8·R1, 16·R1, ...
  • The sequence of the information is a geometric sequence

<h3>How is the given information expressed as a sequence?</h3>

The amount of pocket money Smith gets = 2 × The amount he gets in the previous day

The amount Smith gets on the first day = R1

Required:

The given information expressed as a sequence.

Solution:

The amount of money smith gets can be expressed as follows;

Amount he gets on day 1 = R1

On day 2, R2 = 2·R1

On day 3, R3 = 2·R2 = 2·2·R1 = 4·R1

On day 4, R4 = 2·R3 = 2·2·2·R1 = 8·R1

On day 5, R5 = 2·R4 = 2·2·2·2··R1 = 16·R1

The information written as a sequence is therefore;

  • R1, 2·R1, 4·R1, 8·R1, 16·R1, ...

  • The type of sequence is a<u> geometric sequence, or progression</u> where the first term is R1, and the common ratio, r = 2

Learn more about geometric sequence here:

brainly.com/question/4289731

brainly.com/question/1532378

8 0
2 years ago
Question 1 options:<br><br> 13.5<br><br><br> 12<br><br><br> 13<br><br><br> 11
ki77a [65]

Answer: 13

nothing in between 13

Down below

4 0
2 years ago
What is answer please
Tanzania [10]

Answer:

during the first 3mins the bus was accelerating from 0km to 25 kilometers

during the next 90 mins btwn 30mins to 120 mins it was moving at a constant distance n speed

lastly for the last 60 mins from 120 mins to 180 mins it started decelerating from a distance of 25km to 0 km

8 0
3 years ago
Need help asap with work​
Dominik [7]

Answer:

f(n)=2+4n

Step-by-step explanation:

when they are combined, there are two taken away, so we can just say that there are two added in total, and the number of grey hexagons is n, and it would be 4n because there are 2 taken away like i said earlier if that makes sense :)

6 0
3 years ago
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