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) Which term of geometric sequences, 1,2,4,8.... is 256
Answer:_______________ |
| 2) Which term of geometric sequences, 1,3,9,27.... is 6561
Answer:_______________ |
| 3) Which term of geometric sequences, 1,2,4,8.... is 128
Answer:_______________ |
| 4) Which term of geometric sequences, 1,2,4,8.... is 512
Answer:_______________ |
| 5) Which term of geometric sequences, 1,3,9,27.... is 59049
Answer:_______________ |
| 6) Which term of geometric sequences, 1,3,9,27.... is 2187
Answer:_______________ |
| 7) Which term of geometric sequences, 1,2,4,8.... is 1024
Answer:_______________ |
| 8) Which term of geometric sequences, 1,2,4,8.... is 64
Answer:_______________ |
| 9) Which term of geometric sequences, 1,2,4,8.... is 512
Answer:_______________ |
| 10) Which term of geometric sequences, 1,3,9,27.... is 6561
Answer:_______________ |
| 1) Which term of geometric sequences, 1,2,4,8.... is 256 Answer: 9 SOLUTION 1 : Here a = 1, r = = 2, and tn = 256 ⇒ arn-1 = 256 ⇒ 1 (2)n-1 = 256 ⇒ (2)n-1 = 256 ⇒ 2n-1 = 28 ⇒ n-1 = 8 ⇒ n = 8 + 1 ⇒ n = 9 256 is the 9th term of the G.P. |
| 2) Which term of geometric sequences, 1,3,9,27.... is 6561 Answer: 9 SOLUTION 1 : Here a = 1, r = = 3, and tn = 6561 ⇒ arn-1 = 6561 ⇒ 1 (3)n-1 = 6561 ⇒ (3)n-1 = 6561 ⇒ 3n-1 = 38 ⇒ n-1 = 8 ⇒ n = 8 + 1 ⇒ n = 9 6561 is the 9th term of the G.P. |
| 3) Which term of geometric sequences, 1,2,4,8.... is 128 Answer: 8 SOLUTION 1 : Here a = 1, r = = 2, and tn = 128 ⇒ arn-1 = 128 ⇒ 1 (2)n-1 = 128 ⇒ (2)n-1 = 128 ⇒ 2n-1 = 27 ⇒ n-1 = 7 ⇒ n = 7 + 1 ⇒ n = 8 128 is the 8th term of the G.P. |
| 4) Which term of geometric sequences, 1,2,4,8.... is 512 Answer: 10 SOLUTION 1 : Here a = 1, r = = 2, and tn = 512 ⇒ arn-1 = 512 ⇒ 1 (2)n-1 = 512 ⇒ (2)n-1 = 512 ⇒ 2n-1 = 29 ⇒ n-1 = 9 ⇒ n = 9 + 1 ⇒ n = 10 512 is the 10th term of the G.P. |
| 5) Which term of geometric sequences, 1,3,9,27.... is 59049 Answer: 11 SOLUTION 1 : Here a = 1, r = = 3, and tn = 59049 ⇒ arn-1 = 59049 ⇒ 1 (3)n-1 = 59049 ⇒ (3)n-1 = 59049 ⇒ 3n-1 = 310 ⇒ n-1 = 10 ⇒ n = 10 + 1 ⇒ n = 11 59049 is the 11th term of the G.P. |
| 6) Which term of geometric sequences, 1,3,9,27.... is 2187 Answer: 8 SOLUTION 1 : Here a = 1, r = = 3, and tn = 2187 ⇒ arn-1 = 2187 ⇒ 1 (3)n-1 = 2187 ⇒ (3)n-1 = 2187 ⇒ 3n-1 = 37 ⇒ n-1 = 7 ⇒ n = 7 + 1 ⇒ n = 8 2187 is the 8th term of the G.P. |
| 7) Which term of geometric sequences, 1,2,4,8.... is 1024 Answer: 11 SOLUTION 1 : Here a = 1, r = = 2, and tn = 1024 ⇒ arn-1 = 1024 ⇒ 1 (2)n-1 = 1024 ⇒ (2)n-1 = 1024 ⇒ 2n-1 = 210 ⇒ n-1 = 10 ⇒ n = 10 + 1 ⇒ n = 11 1024 is the 11th term of the G.P. |
| 8) Which term of geometric sequences, 1,2,4,8.... is 64 Answer: 7 SOLUTION 1 : Here a = 1, r = = 2, and tn = 64 ⇒ arn-1 = 64 ⇒ 1 (2)n-1 = 64 ⇒ (2)n-1 = 64 ⇒ 2n-1 = 26 ⇒ n-1 = 6 ⇒ n = 6 + 1 ⇒ n = 7 64 is the 7th term of the G.P. |
| 9) Which term of geometric sequences, 1,2,4,8.... is 512 Answer: 10 SOLUTION 1 : Here a = 1, r = = 2, and tn = 512 ⇒ arn-1 = 512 ⇒ 1 (2)n-1 = 512 ⇒ (2)n-1 = 512 ⇒ 2n-1 = 29 ⇒ n-1 = 9 ⇒ n = 9 + 1 ⇒ n = 10 512 is the 10th term of the G.P. |
| 10) Which term of geometric sequences, 1,3,9,27.... is 6561 Answer: 9 SOLUTION 1 : Here a = 1, r = = 3, and tn = 6561 ⇒ arn-1 = 6561 ⇒ 1 (3)n-1 = 6561 ⇒ (3)n-1 = 6561 ⇒ 3n-1 = 38 ⇒ n-1 = 8 ⇒ n = 8 + 1 ⇒ n = 9 6561 is the 9th term of the G.P. |