CBSEi Class 10 Sequences (AP and GP) CORE

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Student’s Worksheet 15 Content Worksheet (CW10) Hands on Activity 2 (Sum of n odd natural numbers) Name of Student ___________________ Date___________ Aim: To verify that " the sum of first n odd natural numbers is n 2 Material Required: Squared paper, pair of scissors, coloured markers Procedure: 1. Let n = 10. Cut a square of dimension 10x10 units from a squared paper as shown below. 2. To represent 1, shade top left corner square as shown below. 111
3. To represent 1+3 , shade 3 more squares adjacent to previous shaded square as shown below (marked with Red arrows) 4. To represent 1+3+5 shade 3 more squares adjacent to previous shaded square as shown below (marked with Blue arrows) 5. Repeat shading squares till you represent 1+3+5+7+9+.....19 (i.e. sum of first 10 odd natural numbers. 6. What do you observe? Answer the following questions: 1. What is the sum of first 100 odd natural numbers? 2. What is the sum of first p odd natural numbers? 3. Write the sum of odd natural numbers between 5 and 19. 4. Make a geometric representation for 1+3+5+7. 112
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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
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ealise that if general term is give
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Activity skill Matrix Activity Skil
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Activity 1 - Warm Up (W1) Recognisi
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Activity 3 - Warm Up (W3) Designs a
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Activity 5 - Pre Content (P2) Visua
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Activity 7 - Content (CW2) Recognis
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Activity 9 - Content (CW4) Problems
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Specific objective: To recognise a
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Activity 13 - Content (CW8) Problem
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Activity 15 - Content (CW10) Hands
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Activity 17 - Post Content (PCW1) A
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Able to write general term when any
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Teachers’ Rubric for Summative As
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Able to find the sum of given numbe
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STUDY MATERIAL 35
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(v) (vi) Area of 3 rd square = = ,
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(vi) Area of fourth square = Simila
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(iii) 1, 2, 4, 8, ______________ (i
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(ii) 54 = 54 18 = = 54 3 6 = = 18 3
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The fixed number is called the comm
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- = = = = Thus, it is not an AP (Wh
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is called the general term of an AP
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or, 185 = 40 + 25n 25 or, 25n = 250
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The fixed number is called the comm
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Here a = 2 6 ( 2) = 3 18 ( 6) = 3 5
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Example 18 : Find 8 th term of the
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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
Page 118 and 119: 5. Visit the link http://betterexpl
Page 122 and 123: Self Assessment Rubric 15 Content W
Page 124 and 125: 3. Find the sum of first n odd natu
Page 126 and 127: 9. Find the sum of all odd integers
Page 128 and 129: PCW1 (Assignment) : Post Content Wo
Page 130 and 131: 5. General term of an A.P. is alway
Page 132 and 133: PCW4 Framing questions Using the gi
Page 134 and 135: PCW5 Hands on activity Aim: To veri
Page 136 and 137: Suggested videos and Extra readings
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CBSEi Class 10 Sequences (AP and GP) CORE

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