Evaluate the limit 200 lim 5+2in (nx) ブ+6+Cnx) lim 5*+2 メ→の 100

Use the contraposition to prove:  If n^2 + n + 1 is an even integer, then n is an odd integer

Rationalize the denomi 20 5/10 - 7/5

Help to proof

Use proof by cases to show that if n is an integer then n^2 ≥ n.

elf: A Prob X + 780135184097/epubcfi/6/340 [%3Bvnd.vst.idref%3DP700101626200000000000000000C062]!/... to any Lot... S A ctions This ar in ¡ 737 802 894 C-1 A-1 1-1 1-12 % F5 ^ 7. The heights reached by 15 model rockets launched by the students in Mr. Fiori's science class are shown in the stem and leaf plot below. Height reached by rockets (in feet) 1 2 2 F6 3 90 24 38 75 개 10 2 & 10 12 19 20 25 3 52 55 4 02 MacBook Air 89 98 99 10.7-43 Full Alternative Text L a. What is the least height reached by one of the rockets? b. What is the greatest height reached? c. What percentage of the rockets flew above 300 feet? d Draw a histogram based on the stem and leaf plot F7 * a ▶11 F8 © J (2|75 represents 275 ft.) F9 F10 < QAA I 602 / 952 +

SHOW THAT 3^2N - 1 IS DIVISIBLE BY 8 FOR ALL POSITIVE INTEGERS.

Let a be an integer such that the remainder of dividing a by 17 is 15. What isthe remainder of dividing a^2 + a + 1 by 17? Justify your answer. You are not allowed to use congruences.

Assume that n ∈ N. Prove that if 3|(2n + 1) then 9|(10n^ 2 + n − 2).

Prove that n^2 +1 is not divisible by 3 for every integer n.