* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Wk #2 - MrsJackieBroomall
Infinitesimal wikipedia , lookup
History of mathematics wikipedia , lookup
Location arithmetic wikipedia , lookup
Positional notation wikipedia , lookup
Law of large numbers wikipedia , lookup
Georg Cantor's first set theory article wikipedia , lookup
List of first-order theories wikipedia , lookup
List of important publications in mathematics wikipedia , lookup
Mathematics and architecture wikipedia , lookup
Peano axioms wikipedia , lookup
Laws of Form wikipedia , lookup
Foundations of mathematics wikipedia , lookup
Mathematics of radio engineering wikipedia , lookup
Proofs of Fermat's little theorem wikipedia , lookup
Real number wikipedia , lookup
Large numbers wikipedia , lookup
Alg2H Name __________________ Date ___________WK#2 11-3 Arithmetic and Geometric Means Lesson Worksheet #2 Definition: Arithmetic Means between two numbers: Numbers which form an arithmetic sequence with the two given numbers. Geometric Means between two numbers: Numbers which form a geometric sequence with the two given numbers. Sample Problems: 1) Find 4 arithmetic means between 51 and 37. 2) Find one arithmetic mean between 10 and 20. (Find the arithmetic mean of 10 and 20) (Note: Inserting one arithmetic mean midway between the two given numbers is the same as determining the midpoint or average.) 3) Find one geometric mean between 4 and 16. (Find the geometric mean of 4 and 16) (Solve resulting quadratic by factoring) 4) Find 3 geometric means between 6 and 96, allowing the common ratio to be a complex number. (There may be more than one set) For r = ____ : 6, _____, ______, _______, 96 For r = ____ : 6, _____, ______, _______, 96 For r = ____ : 6, _____, ______, _______, 96 For r = ____ : 6, _____, ______, _______, 96 5) Given an arithmetic sequence with t10 = 7 and t19 = 10. Find t1 and t40 6) Find 2 geometric means between 1/9 and –3 allowing the common ratio to be a complex number. (Round to hundredth) (There may be more than one set)