The first and last terms of a finire arithmetic sequence are called arithmetic extremes, and the terms in between are called arithmetic means. In the sequence 4, 8, 12, 16, 20, 24,
4 and 24 are the arithmetic extremes while 8, 12, 16, 20 are the arithmetic means.
Also, 8 is the arithmetic mean of 4 and 12.
The arithmetic between two numbers is sometimes called the average of two numbers. If more than one arithmetic means will be inserted then employ the formula d.
Example:
1.) What is the arithmetic mean between 10 and 24?
10+24
10, _, 24 using the average formula; 2 = 17
Thus 17 is the arithmetic mean between the extremes 10 and 24.
2.) Insert three arithmetic means between 8 and 16.
8,_,_,_,16 a1= 8; a5= 16
using difference formula d= an-ak
n-k
a5-a1 16-8
d= n-k = 5-1 = 2
Thus 2 is the common difference and is positive; Therefore, add it to the first term to get the succeeding term, 8,10,12,14,16
3.) Find the missing term of the sequence _,6,_,_,30.
a2= 6; a5= 30 using the difference formula like #2 ^^
d= a5-a2 30-6
n-k = 5-2 = 8
The common difference is 8 and it is positive; to find for the succeeding terms, add 8 and to find the preceding term, subtract 8, therefore; -2,6,14,22,30.
A/N:
I'm sorry, I will not add exercises in every topics as I'm gonna catch up the chapter 1 lessons.
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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...
