Number series (find the wrong term): 56, 58, 62, 70, 84, 118, 182

Introduction / Context:
This sequence is built from additive jumps that follow a powers-of-two pattern. One term breaks the pattern by using an incorrect increment. Detecting the intended differences is the key here.

Given Data / Assumptions:

• Series: 56, 58, 62, 70, 84, 118, 182.
• Exactly one term is wrong.

Concept / Approach:
Compute differences and look for a recognizable sequence. Doubling increments (2, 4, 8, 16, 32, 64, …) are common and fit the early and late parts of this series well.

Step-by-Step Solution:
Intended differences should be: +2, +4, +8, +16, +32, +64.Apply from 56: 56→58 (+2), 58→62 (+4), 62→70 (+8), 70→86 (+16 expected), 86→118 (+32), 118→182 (+64).But the given fourth term is 84 instead of 86, so the +16 step was mistakenly taken as +14.

Verification / Alternative check:
After correcting 84 to 86, all later terms align perfectly with +32 and +64, confirming that a single misstep occurred at the +16 stage.

Why Other Options Are Wrong:

• 58, 62, 118, 182 are consistent with the intended powers-of-two increments when the earlier error is fixed.

Common Pitfalls:

• Accepting small arithmetic slips (+14 instead of +16) and then trying to force a different rule for later jumps.

Final Answer:
84