MELC: 4. Illustrates a geometric sequence
5. Differentiates a geometric sequence from an arithmetic sequence 6. Determines geometric means and nth term of a geometric sequence. References: Math 10 Learner’s Module pp 28 – 29
Mathematics – Grade 10 Self-Learning Module (SLM)
Quarter 1 – Module 4: Illustrate a Geometric Sequence First Edition, 2020 by Jeffer-son A. Cauilan, Ph.D / DepEd–
SOCCSKSARGEN Region
Reminders: Here are the additional activities for you to understand the lesson further. Write your answers on the sheets provided.
DEVELOPMENT:
Learning Task 1:
A. Identify the common ratio.
1. 5, 10/3,20/9, 40/27, 80/81
2. 10, 20√3 , 120,
3. 17, -51, 153, -459, …
4. -4, 24,-144, 864,…
5. 23, 2, 6, 18, …
B. State whether each of the following sequences is geometric or not. 1. 8, 8, 8, 8, 8, 8, 8, 8, 8, 8...
2. 2, 4, 6, 8, 10, 12, 16, …
3. ½, 1, 1.5, 2, 2.5, 3, …
4. 243, 81, 27, 9, …
5. 5, -10, 20, -40, 80
6. 5, 20, 80, 320, …
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7. 5, -10, 20, -40
8. 1, 0.6, 0.36, 0.216, …
9. 103, 106, 109, 10
15
10. 7√2 , 5√2, 3√2, √2
C. Determine whether each sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, give the common difference; if geometric, give the common ration
1. 6, 18, 54, 162, …
2. 4, 10, 16, 22, …
3. 1, 1, 2, 3, 5, 8, …
4. 625, 125, 25, 5, …
5. ½, ¼, 1/6, 1/8, …
6. 5, 8, 13, 21, 34, …
7. -1296, 216, -36, 6, …
8. 8.2, 8, 7.8, 7.6, …
9. -142, -135, -128, -121, …
10. 11, 2, -7, -16, …
ENGAGEMENT:
Learning Task 2:
A. Create a geometric sequence using the first term and the given common ratio. Give at least five terms of the sequence.
1. a1 = -10 and r = -2
2. a1 = 729 and r = -2/3
3. a1 = -5 and r = 2
4. a1 = 1000 and r = 1/5
5. a1 = ¾ and r = -4
B. Find the common ratio and missing terms in each geometric sequence.
1. 3, 12, 48, ____, ____
2. ____, ____, 32, 64, 128, …
3. 120, 60, 30, ____, ____, ____
4. 5, ____, 20, 40, ____, ____
5. ____, 4, 12, 36, ____, ____
6. -2, ____, ____, -16, -32, -64
7. 256, ____, ____, -32, 16, …
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Email: [email protected]
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8. 27, 9, ____, ____, 13
9. 14, ___, ___, ___, 64, 256
10. 5x2, ___, 5x6. 5x8, ___, …
C. Insert the indicated number of geometric means between the given first and last terms of an arithmetic sequence.
1. 16 and 81 [3]
2. 256 and 1 [3]
3. -32 and 4 [2]
4. 5 and 3125 [5]
5. 13and 643[1]