1)Xét các số ak có dạng: ak = 3k^2 + 3k với k ∈ N* . a. Chứng minh: ak = (k + 1)^3 − k ^3 − 1. b. Tính S = a1 + a2 + a3 + ... + a98 + a99 2)Cho hình thang ABCD ( AB// CD) . Trên cạnh AD lấy các điểm M N, sao cho AM =MN= ND , trên cạnh BC lấy các điểm P Q, sao cho BP =PQ =QC . Giả sử rằng AB// MP// NQ// CD . Chứng minh 3MP= 2AB+ CD

Các câu hỏi liên quan

Read the text below and choose the correct word or phrase for each space (2 points): The great English (16) ________ Isaac Newton, (17) ________ theory of gravitation is well-known throughout the world, was born in the little village Wool Thorpe, not far from his own town of Cambridge, (18) ____ December 25th, 1642. His father was a farmer who died when Newton was fourteen years old. His mother, uncle and grandmother took care of him. When still young, Newton was more of a mechanic (19) _____ a scholar. His neighbors thought he would (20)________ become a well-known clockmaker, because he had already made a clock his neighbors had never heard (21) _____ before. It worked by water. (22) _______ the water clock, Newton also made sundials. When he grew older, he became (23) __________ in mathematics and physics. His first physical experiment was carried (24) ______ in 1658, when he was 16 years old. On June 5th, 1661 Newton entered the University of Cambridge where he studied mathematics and soon became famous at the age of 21. When Newton was 22 years old, he began studying the theory of gravitation. In 1669 he was (25)________ professor and began lectures on Mathematics at Cambridge. Issac Newton died in 1727 at the age of 85. 16. a. scientist b. science c. scientific d. scientifically 17. a. which b. that c. whom d. whose 18. a. in b. on c. at d. within 19. a. than b. over c. to d. and 20. a. possible b. probably c. possibility d. probability 21. a. of b. from c. upon d. out 22. a. Beside b. Besides c. With d. Rather than 23. a. excited b. curious c. interested d. surprised 24. a. up b. on c. out d. over 25. a. appointed b. determined c. ranked d. promoted