1st PUC Mathematics Series-7 December 3, 2020December 23, 2020wefru PUC Science 1st Year Mathematics Series-7 quiz 0 Created on December 02, 2020 By wefru 1st PUC Mathematics Series 7 TEST YOUR KNOWLEDGE OF SCIENCE 1 / 10 Q.61 For every natural number k, which of the following is true? (mn)k = mknk m*k = n + 1 (m+n)k = k + 1 mkn = mnk 2 / 10 Q.62 By induction hypothesis, the series 12 + 22 + 32 + … + p2 can be proved equivalent to ____________ p2+27 p∗(p+1)∗(2p+1)6 p∗(p+1)4 p+p2 3 / 10 Q.63 For any positive integer m ______ is divisible by 4. 5m2 + 2 3m + 1 m2 + 3 m3 + 3m 4 / 10 Q.64 According to principle of mathematical induction, if P(k+1) = m(k+1) + 5 is true then _____ must be true. P(k) = 3m(k) P(k) = m(k) + 5 P(k) = m(k+2) + 5 P(k) = m(k) 5 / 10 Q.65 Which of the following is the base case for 4n+1 > (n+1)2 where n = 2? 64 > 9 64 > 7 64 > 8 64 > 1 6 / 10 Q.66 What is the induction hypothesis assumption for the inequality m ! > 2m where m>=4? for m=k, k!>2k holds for m=k, k!>3k holds for m=k, k!>2k+1 holds for m=k, k+1!>2k holds 7 / 10 Q.67 A polygon with 7 sides can be triangulated into ________ 5 6 2 9 8 / 10 Q.68 Every simple polynomial has an interior diagonal. True False True & False none 9 / 10 Q.69 A polygon with 12 sides can be triangulated into _______ 10 20 30 40 10 / 10 Q.70 Let P(n) be the statement that postage of n cents can be formed using just 3-cents stamps and 5-cents stamps. Is the statements P(8) and P(10) are Correct? True False True & false none Your score isThe average score is 0% LinkedIn Facebook Twitter VKontakte 0% Restart quiz