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 ,145, 142, 139,136.... . Difference = 11th term Answer:_______________ |
| 2) Find the common difference and 13th term of the A.P ,133, 129, 125,121.... . Difference = 13th term Answer:_______________ |
| 3) Find the common difference and 12th term of the A.P ,129, 125, 121,117.... . Difference = 12th term Answer:_______________ |
| 4) Find the common difference and 10th term of the A.P ,108, 105, 102,99.... . Difference = 10th term Answer:_______________ |
| 5) Find the common difference and 10th term of the A.P ,123, 121, 119,117.... . Difference = 10th term Answer:_______________ |
| 6) Find the common difference and 13th term of the A.P ,103, 101, 99,97.... . Difference = 13th term Answer:_______________ |
| 7) Find the common difference and 11th term of the A.P ,120, 116, 112,108.... . Difference = 11th term Answer:_______________ |
| 8) Find the common difference and 15th term of the A.P ,147, 143, 139,135.... . Difference = 15th term Answer:_______________ |
| 9) Find the common difference and 10th term of the A.P ,139, 135, 131,127.... . Difference = 10th term Answer:_______________ |
| 10) Find the common difference and 14th term of the A.P ,122, 118, 114,110.... . Difference = 14th term Answer:_______________ |
| 1) Find the common difference and 11th term of the A.P ,145, 142, 139,136.... . Difference = Answer: -3 11th term Answer: 115 SOLUTION 1 : Given A.P. is 145,142,139,136.... Here a = 145 d = 142 - 145 d = -3 tn = a + (n-1)d For 11th term put n = 11 t11 = 145 + (11-1)-3 = 145 + (10x -3) = 145-30 = 115 Common difference d = -3 11th term t11 = 115
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| 2) Find the common difference and 13th term of the A.P ,133, 129, 125,121.... . Difference = Answer: -4 13th term Answer: 85 SOLUTION 1 : Given A.P. is 133,129,125,121.... Here a = 133 d = 129 - 133 d = -4 tn = a + (n-1)d For 13th term put n = 13 t13 = 133 + (13-1)-4 = 133 + (12x -4) = 133-48 = 85 Common difference d = -4 13th term t13 = 85
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| 3) Find the common difference and 12th term of the A.P ,129, 125, 121,117.... . Difference = Answer: -4 12th term Answer: 85 SOLUTION 1 : Given A.P. is 129,125,121,117.... Here a = 129 d = 125 - 129 d = -4 tn = a + (n-1)d For 12th term put n = 12 t12 = 129 + (12-1)-4 = 129 + (11x -4) = 129-44 = 85 Common difference d = -4 12th term t12 = 85
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| 4) Find the common difference and 10th term of the A.P ,108, 105, 102,99.... . Difference = Answer: -3 10th term Answer: 81 SOLUTION 1 : Given A.P. is 108,105,102,99.... Here a = 108 d = 105 - 108 d = -3 tn = a + (n-1)d For 10th term put n = 10 t10 = 108 + (10-1)-3 = 108 + (9x -3) = 108-27 = 81 Common difference d = -3 10th term t10 = 81
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| 5) Find the common difference and 10th term of the A.P ,123, 121, 119,117.... . Difference = Answer: -2 10th term Answer: 105 SOLUTION 1 : Given A.P. is 123,121,119,117.... Here a = 123 d = 121 - 123 d = -2 tn = a + (n-1)d For 10th term put n = 10 t10 = 123 + (10-1)-2 = 123 + (9x -2) = 123-18 = 105 Common difference d = -2 10th term t10 = 105
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| 6) Find the common difference and 13th term of the A.P ,103, 101, 99,97.... . Difference = Answer: -2 13th term Answer: 79 SOLUTION 1 : Given A.P. is 103,101,99,97.... Here a = 103 d = 101 - 103 d = -2 tn = a + (n-1)d For 13th term put n = 13 t13 = 103 + (13-1)-2 = 103 + (12x -2) = 103-24 = 79 Common difference d = -2 13th term t13 = 79
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| 7) Find the common difference and 11th term of the A.P ,120, 116, 112,108.... . Difference = Answer: -4 11th term Answer: 80 SOLUTION 1 : Given A.P. is 120,116,112,108.... Here a = 120 d = 116 - 120 d = -4 tn = a + (n-1)d For 11th term put n = 11 t11 = 120 + (11-1)-4 = 120 + (10x -4) = 120-40 = 80 Common difference d = -4 11th term t11 = 80
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| 8) Find the common difference and 15th term of the A.P ,147, 143, 139,135.... . Difference = Answer: -4 15th term Answer: 91 SOLUTION 1 : Given A.P. is 147,143,139,135.... Here a = 147 d = 143 - 147 d = -4 tn = a + (n-1)d For 15th term put n = 15 t15 = 147 + (15-1)-4 = 147 + (14x -4) = 147-56 = 91 Common difference d = -4 15th term t15 = 91
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| 9) Find the common difference and 10th term of the A.P ,139, 135, 131,127.... . Difference = Answer: -4 10th term Answer: 103 SOLUTION 1 : Given A.P. is 139,135,131,127.... Here a = 139 d = 135 - 139 d = -4 tn = a + (n-1)d For 10th term put n = 10 t10 = 139 + (10-1)-4 = 139 + (9x -4) = 139-36 = 103 Common difference d = -4 10th term t10 = 103
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| 10) Find the common difference and 14th term of the A.P ,122, 118, 114,110.... . Difference = Answer: -4 14th term Answer: 70 SOLUTION 1 : Given A.P. is 122,118,114,110.... Here a = 122 d = 118 - 122 d = -4 tn = a + (n-1)d For 14th term put n = 14 t14 = 122 + (14-1)-4 = 122 + (13x -4) = 122-52 = 70 Common difference d = -4 14th term t14 = 70
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