CBSEi Class 10 Sequences (AP and GP) CORE

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PCW1 (Assignment) : Post Content Worksheets 1. Is 441 a term of the A.P. : 4, 8, 12,.....? Give reason. 2. Find the 10 th term of the A.P. : -40, -30, -20, -10, ....... 3. Find the r th term of the A.P. : 1, 3, 5, 7,.... 4. How many terms are there in the A.P. : 8, 14, 20, ...., 206? 5. The first term of an A.P. is 10, the common difference is 10 and the last term is 990. Find the number of terms. 6. The 9 th term of an A.P. is 0. Establish a relation between 29 th term and 19 th term. 7. The 10 th term and the 18 th term of an A.P. are 41 and 73 respectively. Find the following: a) 100 th term b) Difference between 100 th term and 50 th term c) 7 more than 56 th term d) 8 less than 6 th term e) Ratio of 20 th term and 25 th term 8. Find the 9 th term from the end of the A.P. 7, 10, 13, .......187. 9. Two A.P.’s have the same common difference. The difference between their 101th terms is 101. What is the difference between their 201th terms? Give reason for your answer. 10. How many numbers of two digits are divisible by 7? 119
PCW2 (Brainstorming) Read the following statements and write your comments. 1. 5n 2 – 6n can be the nth term of an A.P. ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ 2. The first term of an A.P. is 7 and the common difference is 5. Meera said 115 is a term of this A.P. What do you say? ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ 3. The sequence 13, 13, 13, 13, 13.... is a G.P. ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ 4. The common difference of a constant A.P is always zero. ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ 120
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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
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Thus, the sum of first n terms of a
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Sn = [2a + (n 1)d] S50 = [2x1 + (50
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Example 28: The sum of first 22 ter
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Student’s Worksheet 1 Warm up (W1
Page 78 and 79: Student’s Worksheet 2 Warm up (W2
Page 80 and 81: Student’s Worksheet 3 Warm up (W3
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,
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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 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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