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 11th term of the A.P ,117, 112, 107,102.... . Difference = 11th term Answer:_______________ |
| 2) Find the common difference and 11th term of the A.P ,138, 136, 134,132.... . Difference = 11th term Answer:_______________ |
| 3) Find the common difference and 20th term of the A.P ,137, 133, 129,125.... . Difference = 20th term Answer:_______________ |
| 4) Find the common difference and 13th term of the A.P ,124, 120, 116,112.... . Difference = 13th term Answer:_______________ |
| 5) Find the common difference and 14th term of the A.P ,141, 138, 135,132.... . Difference = 14th term Answer:_______________ |
| 6) Find the common difference and 10th term of the A.P ,130, 126, 122,118.... . Difference = 10th term Answer:_______________ |
| 7) Find the common difference and 18th term of the A.P ,143, 140, 137,134.... . Difference = 18th term Answer:_______________ |
| 8) Find the common difference and 18th term of the A.P ,137, 132, 127,122.... . Difference = 18th term Answer:_______________ |
| 9) Find the common difference and 10th term of the A.P ,147, 143, 139,135.... . Difference = 10th term Answer:_______________ |
| 10) Find the common difference and 19th term of the A.P ,137, 133, 129,125.... . Difference = 19th term Answer:_______________ |
| 1) Find the common difference and 11th term of the A.P ,117, 112, 107,102.... . Difference = Answer: -5 11th term Answer: 67 SOLUTION 1 : Given A.P. is 117,112,107,102.... Here a = 117 d = 112 - 117 d = -5 tn = a + (n-1)d For 11th term put n = 11 t11 = 117 + (11-1)-5 = 117 + (10x -5) = 117-50 = 67 Common difference d = -5 11th term t11 = 67
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| 2) Find the common difference and 11th term of the A.P ,138, 136, 134,132.... . Difference = Answer: -2 11th term Answer: 118 SOLUTION 1 : Given A.P. is 138,136,134,132.... Here a = 138 d = 136 - 138 d = -2 tn = a + (n-1)d For 11th term put n = 11 t11 = 138 + (11-1)-2 = 138 + (10x -2) = 138-20 = 118 Common difference d = -2 11th term t11 = 118
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| 3) Find the common difference and 20th term of the A.P ,137, 133, 129,125.... . Difference = Answer: -4 20th term Answer: 61 SOLUTION 1 : Given A.P. is 137,133,129,125.... Here a = 137 d = 133 - 137 d = -4 tn = a + (n-1)d For 20th term put n = 20 t20 = 137 + (20-1)-4 = 137 + (19x -4) = 137-76 = 61 Common difference d = -4 20th term t20 = 61
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| 4) Find the common difference and 13th term of the A.P ,124, 120, 116,112.... . Difference = Answer: -4 13th term Answer: 76 SOLUTION 1 : Given A.P. is 124,120,116,112.... Here a = 124 d = 120 - 124 d = -4 tn = a + (n-1)d For 13th term put n = 13 t13 = 124 + (13-1)-4 = 124 + (12x -4) = 124-48 = 76 Common difference d = -4 13th term t13 = 76
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| 5) Find the common difference and 14th term of the A.P ,141, 138, 135,132.... . Difference = Answer: -3 14th term Answer: 102 SOLUTION 1 : Given A.P. is 141,138,135,132.... Here a = 141 d = 138 - 141 d = -3 tn = a + (n-1)d For 14th term put n = 14 t14 = 141 + (14-1)-3 = 141 + (13x -3) = 141-39 = 102 Common difference d = -3 14th term t14 = 102
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| 6) Find the common difference and 10th term of the A.P ,130, 126, 122,118.... . Difference = Answer: -4 10th term Answer: 94 SOLUTION 1 : Given A.P. is 130,126,122,118.... Here a = 130 d = 126 - 130 d = -4 tn = a + (n-1)d For 10th term put n = 10 t10 = 130 + (10-1)-4 = 130 + (9x -4) = 130-36 = 94 Common difference d = -4 10th term t10 = 94
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| 7) Find the common difference and 18th term of the A.P ,143, 140, 137,134.... . Difference = Answer: -3 18th term Answer: 92 SOLUTION 1 : Given A.P. is 143,140,137,134.... Here a = 143 d = 140 - 143 d = -3 tn = a + (n-1)d For 18th term put n = 18 t18 = 143 + (18-1)-3 = 143 + (17x -3) = 143-51 = 92 Common difference d = -3 18th term t18 = 92
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| 8) Find the common difference and 18th term of the A.P ,137, 132, 127,122.... . Difference = Answer: -5 18th term Answer: 52 SOLUTION 1 : Given A.P. is 137,132,127,122.... Here a = 137 d = 132 - 137 d = -5 tn = a + (n-1)d For 18th term put n = 18 t18 = 137 + (18-1)-5 = 137 + (17x -5) = 137-85 = 52 Common difference d = -5 18th term t18 = 52
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| 9) Find the common difference and 10th term of the A.P ,147, 143, 139,135.... . Difference = Answer: -4 10th term Answer: 111 SOLUTION 1 : Given A.P. is 147,143,139,135.... Here a = 147 d = 143 - 147 d = -4 tn = a + (n-1)d For 10th term put n = 10 t10 = 147 + (10-1)-4 = 147 + (9x -4) = 147-36 = 111 Common difference d = -4 10th term t10 = 111
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| 10) Find the common difference and 19th term of the A.P ,137, 133, 129,125.... . Difference = Answer: -4 19th term Answer: 65 SOLUTION 1 : Given A.P. is 137,133,129,125.... Here a = 137 d = 133 - 137 d = -4 tn = a + (n-1)d For 19th term put n = 19 t19 = 137 + (19-1)-4 = 137 + (18x -4) = 137-72 = 65 Common difference d = -4 19th term t19 = 65
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