Number series – insert the missing term by successive division: 840, ?, 420, 140, 35, 7

Introduction / Context:Look for factor-based decay: consecutive divisions by 1, 2, 3, 4, 5 produce a tidy ladder from the start value.

Observation / Approach:

• 840 ÷ 1 = 840
• 840 ÷ 2 = 420
• 420 ÷ 3 = 140
• 140 ÷ 4 = 35
• 35 ÷ 5 = 7

Step-by-Step Solution:The missing second term equals 840 ÷ 1 = 840.

Verification / Alternative check:All subsequent divisions neatly match the remainder of the given sequence.

Why Other Options Are Wrong:Other values break the exact factorial-like division progression and will not land exactly on 420 after the next step.

Common Pitfalls:Starting the division at 2; the pattern begins with ÷1 to include the repeated 840.

Final Answer:840