CBSEi Class 10 Sequences (AP and GP) CORE

More documents

Recommendations

Info

Here a = 2 6 ( 2) = 3 18 ( 6) = 3 54 ( 18) = 3 So, it is a GP with common ratio(r) = 3. (v) … Here a = ÷ = × = … × = So, it is not a GP as ≠ . From the numerators, it appears as the numbers are in GP but in fact they are not. Example 16: Find the value of k for which 4k + 4, 6k 2, 9k 13 form a GP. Solution: Since 4k + 4, 6k 2 and 9k 13 form a GP, therefore, = (=r) (6k 2) (6k 2) = (4k + 4) (9k 13) 36k 2 24k + 4 = 36k 2 52k + 36k 52 = 36k 2 16k 52 8k = 56 k = 7 55
Example 17: Find a GP whose first term is and common ratio is . Solution: Here a = , r = So, the required GP will be a, ar, ar 2 ,…… i.e., x , x ,…. or, , 2 , ,….. General Term of a GP Recall that if a is the first term and r is the common ratio, then the GP is written as a, ar, ar 2 ,……. Note that first term (= ) = a = ar 1-1 second term (= ) = ar = ar 2-1 third term (= ) = ar 2 = ar 3-1 fourth term (= ) = ar 3 = ar 4-1 …… …… tenth term (= ) = ar 9 = ar 10-1 Observing the pattern (exponent of r in any term is 1 less than the term number,) We can write nth term (= ) = ar n-1 an = ar n-1 is called the general term of a GP. Sometimes, the general term of a GP is also denoted by . 56
Page 1:
CBSE-i Mathematics Arithmetic Progr
Page 4 and 5:
The CBSE-International is grateful
Page 6 and 7:
ACKNOWLEDGEMENTS Advisory Conceptua
Page 8 and 9:
CContent Worksheet CW7 22 General T
Page 10 and 11:
Introduction to Arithmetic Syllabus
Page 12 and 13:
Mozart the finest musician of the w
Page 14 and 15: 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 66 and 67: Example 18 : Find 8 th term of the
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
Page 116 and 117:
Student’s Worksheet 14 Content Wo
Page 118 and 119:
5. Visit the link http://betterexpl
Page 120 and 121:
Student’s Worksheet 15 Content Wo
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
show all

CBSEi Class 10 Sequences (AP and GP) CORE

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?