Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) Find the common difference and 17th term of the A.P ,109, 105, 101,97.... . Difference = 17th term Answer:_______________ |
| 2) Find the common difference and 20th term of the A.P ,120, 118, 116,114.... . Difference = 20th term Answer:_______________ |
| 3) Find the common difference and 11th term of the A.P ,126, 122, 118,114.... . Difference = 11th term Answer:_______________ |
| 4) Find the common difference and 17th term of the A.P ,121, 118, 115,112.... . Difference = 17th term Answer:_______________ |
| 5) Find the common difference and 20th term of the A.P ,124, 122, 120,118.... . Difference = 20th term Answer:_______________ |
| 6) Find the common difference and 15th term of the A.P ,144, 139, 134,129.... . Difference = 15th term Answer:_______________ |
| 7) Find the common difference and 14th term of the A.P ,125, 120, 115,110.... . Difference = 14th term Answer:_______________ |
| 8) Find the common difference and 17th term of the A.P ,145, 143, 141,139.... . Difference = 17th term Answer:_______________ |
| 9) Find the common difference and 16th term of the A.P ,103, 99, 95,91.... . Difference = 16th term Answer:_______________ |
| 10) Find the common difference and 12th term of the A.P ,125, 123, 121,119.... . Difference = 12th term Answer:_______________ |
| 1) Find the common difference and 17th term of the A.P ,109, 105, 101,97.... . Difference = Answer: -4 17th term Answer: 45 SOLUTION 1 : Given A.P. is 109,105,101,97.... Here a = 109 d = 105 - 109 d = -4 tn = a + (n-1)d For 17th term put n = 17 t17 = 109 + (17-1)-4 = 109 + (16x -4) = 109-64 = 45 Common difference d = -4 17th term t17 = 45
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| 2) Find the common difference and 20th term of the A.P ,120, 118, 116,114.... . Difference = Answer: -2 20th term Answer: 82 SOLUTION 1 : Given A.P. is 120,118,116,114.... Here a = 120 d = 118 - 120 d = -2 tn = a + (n-1)d For 20th term put n = 20 t20 = 120 + (20-1)-2 = 120 + (19x -2) = 120-38 = 82 Common difference d = -2 20th term t20 = 82
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| 3) Find the common difference and 11th term of the A.P ,126, 122, 118,114.... . Difference = Answer: -4 11th term Answer: 86 SOLUTION 1 : Given A.P. is 126,122,118,114.... Here a = 126 d = 122 - 126 d = -4 tn = a + (n-1)d For 11th term put n = 11 t11 = 126 + (11-1)-4 = 126 + (10x -4) = 126-40 = 86 Common difference d = -4 11th term t11 = 86
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| 4) Find the common difference and 17th term of the A.P ,121, 118, 115,112.... . Difference = Answer: -3 17th term Answer: 73 SOLUTION 1 : Given A.P. is 121,118,115,112.... Here a = 121 d = 118 - 121 d = -3 tn = a + (n-1)d For 17th term put n = 17 t17 = 121 + (17-1)-3 = 121 + (16x -3) = 121-48 = 73 Common difference d = -3 17th term t17 = 73
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| 5) Find the common difference and 20th term of the A.P ,124, 122, 120,118.... . Difference = Answer: -2 20th term Answer: 86 SOLUTION 1 : Given A.P. is 124,122,120,118.... Here a = 124 d = 122 - 124 d = -2 tn = a + (n-1)d For 20th term put n = 20 t20 = 124 + (20-1)-2 = 124 + (19x -2) = 124-38 = 86 Common difference d = -2 20th term t20 = 86
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| 6) Find the common difference and 15th term of the A.P ,144, 139, 134,129.... . Difference = Answer: -5 15th term Answer: 74 SOLUTION 1 : Given A.P. is 144,139,134,129.... Here a = 144 d = 139 - 144 d = -5 tn = a + (n-1)d For 15th term put n = 15 t15 = 144 + (15-1)-5 = 144 + (14x -5) = 144-70 = 74 Common difference d = -5 15th term t15 = 74
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| 7) Find the common difference and 14th term of the A.P ,125, 120, 115,110.... . Difference = Answer: -5 14th term Answer: 60 SOLUTION 1 : Given A.P. is 125,120,115,110.... Here a = 125 d = 120 - 125 d = -5 tn = a + (n-1)d For 14th term put n = 14 t14 = 125 + (14-1)-5 = 125 + (13x -5) = 125-65 = 60 Common difference d = -5 14th term t14 = 60
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| 8) Find the common difference and 17th term of the A.P ,145, 143, 141,139.... . Difference = Answer: -2 17th term Answer: 113 SOLUTION 1 : Given A.P. is 145,143,141,139.... Here a = 145 d = 143 - 145 d = -2 tn = a + (n-1)d For 17th term put n = 17 t17 = 145 + (17-1)-2 = 145 + (16x -2) = 145-32 = 113 Common difference d = -2 17th term t17 = 113
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| 9) Find the common difference and 16th term of the A.P ,103, 99, 95,91.... . Difference = Answer: -4 16th term Answer: 43 SOLUTION 1 : Given A.P. is 103,99,95,91.... Here a = 103 d = 99 - 103 d = -4 tn = a + (n-1)d For 16th term put n = 16 t16 = 103 + (16-1)-4 = 103 + (15x -4) = 103-60 = 43 Common difference d = -4 16th term t16 = 43
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| 10) Find the common difference and 12th term of the A.P ,125, 123, 121,119.... . Difference = Answer: -2 12th term Answer: 103 SOLUTION 1 : Given A.P. is 125,123,121,119.... Here a = 125 d = 123 - 125 d = -2 tn = a + (n-1)d For 12th term put n = 12 t12 = 125 + (12-1)-2 = 125 + (11x -2) = 125-22 = 103 Common difference d = -2 12th term t12 = 103
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