Number series — find the next two terms of the sequence: 3, 8, 13, 18, 23, 28, 33

Question

Solve this multiple-choice question and choose the correct option.

Accepted Answer

Introduction / Context:This series is another arithmetic progression. Quickly spotting the constant difference allows immediate prediction of the next terms—an essential skill for rapid quantitative reasoning. Given Data / Assumptions: Sequence: 3, 8, 13, 18, 23, 28, 33 Find the next two values (positions 8 and 9). Concept / Approach:Arithmetic progression with constant difference d. Compute d and add it successively to obtain future terms. Step-by-Step Solution: Difference: 8 − 3 = 5 (consistent across the sequence).Next term: 33 + 5 = 38.Term after that: 38 + 5 = 43.Hence, the next two terms are 38 and 43. Verification / Alternative check: Check mid-sequence: 18 + 5 = 23 and 23 + 5 = 28, confirming d = 5. Why Other Options Are Wrong: 39 44 / 38 44 / 37 42 / 33 38: At least one entry in each pair violates the constant +5 progression. Common Pitfalls: Confusing this AP with two interleaved series; there is only one constant step here. Final Answer:38 43

Number series — find the next two terms of the sequence: 3, 8, 13, 18, 23, 28, 33

More Questions from Number Series

Discussion & Comments