CBSEi Class 10 Sequences (AP and GP) CORE

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Example 18 : Find 8 th term of the GP : 27, 18, 12, 18,……… Solution: Here a = 27, r = = = = Using = ar n-1 , = (27) = (27) = 27 = Hence, 8 th term of the given GP is . Example 19: Which term of the GP : 36, -12, 4,…. is ? Solution: Here, a = 36, r = = = Let nth term of the G.P. be Using = ar n-1 , we have: or, = or, 1 81x9 = or, n 1 = 6 = 36 = or, n = 6+1= 7 Thus, 4 81 is the seventh term of the GP. 57
Example 20: If the first term of a GP is and its 10 th term is , find the common ratio of the GP. Solution: Here, a = Let r be the common ratio. = i.e., ar 9 = or, r 9 = or, r 9 = = or, r n = = so, r = Thus, the required common ratio is Example 21: Find the first term of a GP whose 10 th term is and whose common ratio is . Solution: Here, r = and = Let the first term be a. So, ar 9 = or, a = 58
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CBSE-i Mathematics Arithmetic Progr
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The CBSE-International is grateful
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ACKNOWLEDGEMENTS Advisory Conceptua
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CContent Worksheet CW7 22 General T
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Introduction to Arithmetic Syllabus
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Mozart the finest musician of the w
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Teacher’s Note The teaching of Ma
Page 16 and 17: ealise that if general term is give
Page 18 and 19: Activity skill Matrix Activity Skil
Page 20 and 21: Activity 1 - Warm Up (W1) Recognisi
Page 22 and 23: Activity 3 - Warm Up (W3) Designs a
Page 24 and 25: Activity 5 - Pre Content (P2) Visua
Page 26 and 27: Activity 7 - Content (CW2) Recognis
Page 28 and 29: Activity 9 - Content (CW4) Problems
Page 30 and 31: Specific objective: To recognise a
Page 32 and 33: Activity 13 - Content (CW8) Problem
Page 34 and 35: Activity 15 - Content (CW10) Hands
Page 36 and 37: Activity 17 - Post Content (PCW1) A
Page 38 and 39: Able to write general term when any
Page 40 and 41: Teachers’ Rubric for Summative As
Page 42 and 43: Able to find the sum of given numbe
Page 44 and 45: STUDY MATERIAL 35
Page 46 and 47: (v) (vi) Area of 3 rd square = = ,
Page 48 and 49: (vi) Area of fourth square = Simila
Page 50 and 51: (iii) 1, 2, 4, 8, ______________ (i
Page 52 and 53: (ii) 54 = 54 18 = = 54 3 6 = = 18 3
Page 54 and 55: The fixed number is called the comm
Page 56 and 57: - = = = = Thus, it is not an AP (Wh
Page 58 and 59: is called the general term of an AP
Page 60 and 61: or, 185 = 40 + 25n 25 or, 25n = 250
Page 62 and 63: The fixed number is called the comm
Page 64 and 65: Here a = 2 6 ( 2) = 3 18 ( 6) = 3 5
Page 68 and 69: or, = or, a = = i.e., the first ter
Page 70 and 71: Thus, the sum of first n terms of a
Page 72 and 73: Sn = [2a + (n 1)d] S50 = [2x1 + (50
Page 74 and 75: Example 28: The sum of first 22 ter
Page 76 and 77: Student’s Worksheet 1 Warm up (W1
Page 82 and 83: Student’s Worksheet 4 Pre Content
Page 84 and 85: Student’s Worksheet 5 Pre Content
Page 86 and 87: Student’s Worksheet 6 Content Wor
Page 88 and 89: Parameters of assessment Self Asses
Page 90 and 91: 2. Investigation : For which of the
Page 94 and 95: 2. Which of the following expressio
Page 98 and 99: 5. Given a sequence 6, 11, 16, 21,
Page 100 and 101: 11. 12. Can Can 91
Page 102 and 103: Student’s Worksheet 10 Content Wo
Page 104 and 105: Step 6 Take the strip of dimension
Page 106 and 107: Parameters of assessment Self Asses
Page 108 and 109: a 3. Take the suitable value for fi
Page 114 and 115: 5. Find a G.P. whose 3 rd and 6 th
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Student’s Worksheet 14 Content Wo
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5. Visit the link http://betterexpl
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Student’s Worksheet 15 Content Wo
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Self Assessment Rubric 15 Content W
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3. Find the sum of first n odd natu
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9. Find the sum of all odd integers
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PCW1 (Assignment) : Post Content Wo
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5. General term of an A.P. is alway
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PCW4 Framing questions Using the gi
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PCW5 Hands on activity Aim: To veri
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Suggested videos and Extra readings
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CBSEi Class 10 Sequences (AP and GP) CORE

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