Which number will replace the question mark (?) in the following series? 14,…
2019
Which number will replace the question mark (?) in the following series? 14, 15, 19, 46, 62, ?
- A.
185
- B.
187
- C.
183
- D.
181
Attempted by 65 students.
Show answer & explanation
Correct answer: B
Pattern: each term is obtained by adding successive powers to the previous term (the differences are 1^1, 2^2, 3^3, 4^2, 5^3).
Step 1: 14 + 1^1 = 14 + 1 = 15
Step 2: 15 + 2^2 = 15 + 4 = 19
Step 3: 19 + 3^3 = 19 + 27 = 46
Step 4: 46 + 4^2 = 46 + 16 = 62
Step 5: 62 + 5^3 = 62 + 125 = 187
Answer: 187