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 20th term of the A.P ,138, 135, 132,129.... . Difference = 20th term Answer:_______________ |
| 2) Find the common difference and 16th term of the A.P ,134, 132, 130,128.... . Difference = 16th term Answer:_______________ |
| 3) Find the common difference and 17th term of the A.P ,112, 107, 102,97.... . Difference = 17th term Answer:_______________ |
| 4) Find the common difference and 17th term of the A.P ,106, 102, 98,94.... . Difference = 17th term Answer:_______________ |
| 5) Find the common difference and 20th term of the A.P ,137, 135, 133,131.... . Difference = 20th term Answer:_______________ |
| 6) Find the common difference and 16th term of the A.P ,126, 121, 116,111.... . Difference = 16th term Answer:_______________ |
| 7) Find the common difference and 15th term of the A.P ,120, 118, 116,114.... . Difference = 15th term Answer:_______________ |
| 8) Find the common difference and 16th term of the A.P ,147, 144, 141,138.... . Difference = 16th term Answer:_______________ |
| 9) Find the common difference and 18th term of the A.P ,150, 147, 144,141.... . Difference = 18th term Answer:_______________ |
| 10) Find the common difference and 11th term of the A.P ,128, 123, 118,113.... . Difference = 11th term Answer:_______________ |
| 1) Find the common difference and 20th term of the A.P ,138, 135, 132,129.... . Difference = Answer: -3 20th term Answer: 81 SOLUTION 1 : Given A.P. is 138,135,132,129.... Here a = 138 d = 135 - 138 d = -3 tn = a + (n-1)d For 20th term put n = 20 t20 = 138 + (20-1)-3 = 138 + (19x -3) = 138-57 = 81 Common difference d = -3 20th term t20 = 81
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| 2) Find the common difference and 16th term of the A.P ,134, 132, 130,128.... . Difference = Answer: -2 16th term Answer: 104 SOLUTION 1 : Given A.P. is 134,132,130,128.... Here a = 134 d = 132 - 134 d = -2 tn = a + (n-1)d For 16th term put n = 16 t16 = 134 + (16-1)-2 = 134 + (15x -2) = 134-30 = 104 Common difference d = -2 16th term t16 = 104
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| 3) Find the common difference and 17th term of the A.P ,112, 107, 102,97.... . Difference = Answer: -5 17th term Answer: 32 SOLUTION 1 : Given A.P. is 112,107,102,97.... Here a = 112 d = 107 - 112 d = -5 tn = a + (n-1)d For 17th term put n = 17 t17 = 112 + (17-1)-5 = 112 + (16x -5) = 112-80 = 32 Common difference d = -5 17th term t17 = 32
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| 4) Find the common difference and 17th term of the A.P ,106, 102, 98,94.... . Difference = Answer: -4 17th term Answer: 42 SOLUTION 1 : Given A.P. is 106,102,98,94.... Here a = 106 d = 102 - 106 d = -4 tn = a + (n-1)d For 17th term put n = 17 t17 = 106 + (17-1)-4 = 106 + (16x -4) = 106-64 = 42 Common difference d = -4 17th term t17 = 42
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| 5) Find the common difference and 20th term of the A.P ,137, 135, 133,131.... . Difference = Answer: -2 20th term Answer: 99 SOLUTION 1 : Given A.P. is 137,135,133,131.... Here a = 137 d = 135 - 137 d = -2 tn = a + (n-1)d For 20th term put n = 20 t20 = 137 + (20-1)-2 = 137 + (19x -2) = 137-38 = 99 Common difference d = -2 20th term t20 = 99
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| 6) Find the common difference and 16th term of the A.P ,126, 121, 116,111.... . Difference = Answer: -5 16th term Answer: 51 SOLUTION 1 : Given A.P. is 126,121,116,111.... Here a = 126 d = 121 - 126 d = -5 tn = a + (n-1)d For 16th term put n = 16 t16 = 126 + (16-1)-5 = 126 + (15x -5) = 126-75 = 51 Common difference d = -5 16th term t16 = 51
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| 7) Find the common difference and 15th term of the A.P ,120, 118, 116,114.... . Difference = Answer: -2 15th term Answer: 92 SOLUTION 1 : Given A.P. is 120,118,116,114.... Here a = 120 d = 118 - 120 d = -2 tn = a + (n-1)d For 15th term put n = 15 t15 = 120 + (15-1)-2 = 120 + (14x -2) = 120-28 = 92 Common difference d = -2 15th term t15 = 92
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| 8) Find the common difference and 16th term of the A.P ,147, 144, 141,138.... . Difference = Answer: -3 16th term Answer: 102 SOLUTION 1 : Given A.P. is 147,144,141,138.... Here a = 147 d = 144 - 147 d = -3 tn = a + (n-1)d For 16th term put n = 16 t16 = 147 + (16-1)-3 = 147 + (15x -3) = 147-45 = 102 Common difference d = -3 16th term t16 = 102
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| 9) Find the common difference and 18th term of the A.P ,150, 147, 144,141.... . Difference = Answer: -3 18th term Answer: 99 SOLUTION 1 : Given A.P. is 150,147,144,141.... Here a = 150 d = 147 - 150 d = -3 tn = a + (n-1)d For 18th term put n = 18 t18 = 150 + (18-1)-3 = 150 + (17x -3) = 150-51 = 99 Common difference d = -3 18th term t18 = 99
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| 10) Find the common difference and 11th term of the A.P ,128, 123, 118,113.... . Difference = Answer: -5 11th term Answer: 78 SOLUTION 1 : Given A.P. is 128,123,118,113.... Here a = 128 d = 123 - 128 d = -5 tn = a + (n-1)d For 11th term put n = 11 t11 = 128 + (11-1)-5 = 128 + (10x -5) = 128-50 = 78 Common difference d = -5 11th term t11 = 78
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