3, 6, 12, 24,…
The first termod the geometric sequence is 3. To obtain the second term, (a2), r= 2, the common ratio is multiplies to the first term. To get the next term, again we multiply the vommon ratio by the term preceding it and so on.
To find for the next term, multiply the first term by the common ratio raised to an exponent which is one less than the numver of term.
an= a1rⁿ-¹
Examples:
1.) Given the geometric sequence 5, 10, 20,…, find a8
a1= 5, r= 2; (10/5 or 20/10), n= 8
an= a1 rⁿ-¹
a8= 5(2)^8-1
a8= 5(128)
a8= 640
2.) Given the geometric sequence 2, -6, 18, …, find a9
a1= 2, r= 3, (-6/2 or 18/-6), n= 9
a9= 2(-3)^8
a9= 2(6561)
a9= 13122
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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...
