Which of the following sequences is different from the rest?
- A
- B
- C
- D
Solution & Step-by-step Explanation
Let us analyze each sequence:
* Sequence a (): This represents squares of consecutive natural numbers: .
* Sequence b (): This represents cubes of consecutive natural numbers: .
* Sequence d (): This represents fourth powers of consecutive natural numbers: .
* Sequence c (): The differences between consecutive terms are , which does not follow a standard pure power pattern like the others. Thus, it is the odd one out.
* Sequence a (): This represents squares of consecutive natural numbers: .
* Sequence b (): This represents cubes of consecutive natural numbers: .
* Sequence d (): This represents fourth powers of consecutive natural numbers: .
* Sequence c (): The differences between consecutive terms are , which does not follow a standard pure power pattern like the others. Thus, it is the odd one out.