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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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How do you solve fractions and multiplication in algebraic, ex:1/3× -4​
Setler79 [48]

Answer: x=12

Step-by-step explanation:

1/3 x -4

1/3x=4               <---- First add 4 to each side of the equation (moves the "-4")

1/3x(3)=4(3)     <---- Muliply each side by "3" to get rid of the fraction

x=12

3 0
3 years ago
Two cards are drawn from a standard deck of cards without replacement. Find the probability of drawing a heart and a club in tha
Katyanochek1 [597]

Answer:

4/663

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Since we are to draw from a pack of card, the total outcome will be 52

Since there are 4 hearts;

Pr(selecting heart) = 4/52 = 1/13

If a club is then selected without replacement, the total number of card remaining will be 51;

Pr(selecting a heart) = 4/51

probability of drawing a heart and a club in that order = 4/52 * 4/51

probability of drawing a heart and a club in that order = 16/2652

probability of drawing a heart and a club in that order = 4/663

8 0
3 years ago
Which of the following is a coefficient in the expression below?<br> 5x2-3x+7
andre [41]

Answer:

5 and -3

Step-by-step explanation:

cause 2 and 7 are constants

5 0
2 years ago
Which of the following is a prime number? Select one: A. 19 B. 20 C. 21 D. 22
nexus9112 [7]

Answer: a. 19

Step-by-step explanation:

it only has 1 and itself

6 0
3 years ago
Read 2 more answers
PLEASE HELP!!! WILL GIVE BRAINLIEST IF YOURE RIGHT!!!!
Svetllana [295]
D. is the answer

y - y1 = m(x - x1)
the slope is 2/3, so choose which point to be (x1, y1)
5 0
3 years ago
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