Select the number from among the given options that can replace the question mark (?) in the following series.
552, ?, 650, 702, 756
- A600
- B576
- C625
- D590
Solution & Step-by-step Explanation
Let's find the differences between consecutive terms at the end of the series:
756−702=54
702−650=52
We see that the difference is decreasing by 2 as we move left (54,52,…).
Following this pattern, the previous differences should be 50 and 48.
Let's test this:
Term
3
−Term
2
=50⟹650−50=600
Term
2
−Term
1
=48⟹600−48=552
This perfectly matches the first term (552). Therefore, the missing number is 600.
756−702=54
702−650=52
We see that the difference is decreasing by 2 as we move left (54,52,…).
Following this pattern, the previous differences should be 50 and 48.
Let's test this:
Term
3
−Term
2
=50⟹650−50=600
Term
2
−Term
1
=48⟹600−48=552
This perfectly matches the first term (552). Therefore, the missing number is 600.