Discussion
The first term of a sequence is 2. All subsequent terms are found by adding 3 to the immediately preceding term and then multiplying the sum by 2. Which of the following describes the terms of the sequence?
*This question is included in Nova Math - Problem Set Y: Sequences & Series, question #8
| (A) | Each term is odd |
| (B) | ... |
| (C) | ... |
| (D) | ... |
| (E) | ... |
| (F) | ... |
The solution is
Posted: 01/07/2013 14:47
Is the sequence in the solution wrong since it does not take into account adding the 3 then multiplying by 2, should be 2,6,18,42 ?
Posted: 01/07/2013 18:51
First term = 2
Next term = (2 + 3) x 2 = 10, even;
Next term = (10+3) x 3 = 26, even; etc.
Next term = (2 + 3) x 2 = 10, even;
Next term = (10+3) x 3 = 26, even; etc.