The first and last terms of a geometric sequence are called the extremes, and the terms between are called means. In the geometric sequence 1, 2, 4, 8, 16, the numbe r2, 4, 8 are the geometric means between 1 and 16. The formula to solve for a feometric mean between two terms is + √ab which is also called the mean proportionality of a and b.
Examples:
1.) Insert one geometric mean between 2 and 18.
2, _, 18
Then + √ab = + √(2)(18) = + √36 = +6
2.) Insert three geometric means between -2 and -162.
-2, _, _, _, -162
a1= -2 and a5= -162
Using the ratio formula:
/an /-162
r= n-k / —— = r = 5-1 / —— = r = ⁴√81 = 3
\/ ak \/ -2
Multiple each term by 3.
-2, -6, -18, -54, -162
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MATHEMATICS 10
Non-FictionThis book contains topics from Grade 10 Mathematics. This book might not have all the topics of Mathematics in grade 10 but it will surely help you. Use this as a guide to your Math subject but don't always depend here. Date created: May 8, 2019 Da...
