Back to: MATHEMATICS SS2
Welcome to class!
In today’s class, we will be talking about geometric progressions. Enjoy the class!
Geometric Progressions
Definition of G.P
The sequence 5, 10, 20, 40 has a first term of 5 and the common ratio
Between the term is 2 e.g. (10/5 or 40/2o = 2).
A sequence in which the terms either increase or decrease in a common ratio is called a Geometric Progression
(G. P)
- P: a, ar, ar2, ar3 ………………
Denotations in G. P
a = 1st term
r = common ratio
Un = nth term
Sn = sum
The nth term of a G. P
The nth term = Un
Un = arn-1
1st term = a
2nd term = a x r =ar
3rd term = a x r x r = ar2
4th term = a x r x r x r = ar3
8thterm = a x r x r x r x r x r x r x r = ar7
nth term = a x r x r x r x ……….. arn-1
General Evaluation
- In the 2nd and 4th term of a G.P are 8 and 32 respectively, what is the sum of the first four terms. (a) 28 (b) 40 (c) 48 (d) 60
- The sum of the first five terms of the G.P. 2, 6, 18, is (a) 484 (b) 243 (c) 242 (d) 130
- The 4th term of a GP is -2/3 and its first term is 18 what is its common ratio. (a) ½ (b) 1/3 (c) -1/3 (d) -1/2
- If the 2nd and 5th term of a G. P. are -6 and 48 respectively, find the sum of the first four terms: (a) -45 (b) -15 (c) 15 (d) 33
- Find the first term of the G.P. if its common ratio and sum to infinity – 3/3 and respectively (a) 48 (b) 18 (c) 40 (d) -42
In our next class, we will be talking about the Quadratic Equation. We hope you enjoyed the class.
Should you have any further question, feel free to ask in the comment section below and trust us to respond as soon as possible.
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I enjoyed the class tnx,but how will i join the quadratic equations class tnx
You can simply navigate to the class and subject on this platform and read for free.
What is the formulae for series in G.P
I really enjoyed the class
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It was so useful
I really enjoy this class but if we want to submit any assignment how are we going to.
Hello Temitope,
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Just make sure you do the assignments as they were assigned for each class. You can let us know if you encounter any challenge.
Thank you