Mathematics, 30.07.2019 21:10, DwayneLeonard618
Use induction to prove the following formula is true for all integers n where n greaterthanorequalto 1. 1 + 4 + 9 + .. + n^2 = n(n + 1)(2n + 1)/6
Answers: 3
![1+4+9+..+k^2+(k+1)^2\\\\=\dfrac{k(k+1)(2k+1)}{6}+(k+1)^2\\\\=k+1[\dfrac{k(2k+1)}{6}+(k+1)]\\\\=(k+1)[\dfrac{2k^2+k+6k+6}{6}]\\\\=(k+1)\dfrac{2k^2+7k+6}{6}]\\\\=(k+1)\dfrac{2k^2+4k+3k+6}{6}]\\\\=(k+1)[\dfrac{2k(k+2)+3(k+2)}{6}]\\\\=\dfrac{(k+1)(2k+3)(k+2)}{6}](/tpl/images/0151/9072/006f2.png)
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 19:00, Islandgirl67
What are the solutions of the system? solve by graphing. y = x^2 + 3x + 2 y = 2x + 2
Answers: 1
Mathematics, 21.06.2019 19:00, william03300
Aflower has 26 chromosomes. to create a new flower, how many would a sperm cell have what is called?
Answers: 1
Mathematics, 21.06.2019 23:30, Bri0929
Bonnie and bobby are saving money for a vacation. each friend starts with an amount and also saves a specific amount each week. bonnie created a table to show the total she has saved at the end of each week.. weeks 0 1 2 3 4 5 6 7 8 amount saved 12 16 20 24 28 32 36 40 44 bobby came up with the following equation to show the total, y, he has saved at the end of each week, x. y = 12x + 4 compare the rate at which each friend saves money. select the correct answer from the drop-down menu to complete the statement. the rate at which bobby is adding to his savings each week is $ more than the rate at which bonnie is adding to her savings each week.
Answers: 2
Do you know the correct answer?
Use induction to prove the following formula is true for all integers n where n greaterthanorequalto...
Questions in other subjects:
Physics, 24.09.2019 21:00
Mathematics, 24.09.2019 21:00
