Number series – extend the pattern by two terms. Sequence: 10, 20, 25, 35, 40, 50, 55, ____ , ____

Difficulty: Easy

Correct Answer: 65 70

Explanation:


Introduction / Context:
The sequence alternates between adding 10 and adding 5. Recognizing alternating fixed increments is a common test of series reasoning.


Given Data / Assumptions:

  • Given: 10, 20, 25, 35, 40, 50, 55
  • Find the next two terms.


Concept / Approach:
Identify the repeating operation: +10, then +5, and so on.


Step-by-Step Solution:

10 → 20: +1020 → 25: +525 → 35: +1035 → 40: +540 → 50: +1050 → 55: +5Next step should be +10: 55 + 10 = 65Next step after that should be +5: 65 + 5 = 70


Verification / Alternative check:
The +10, +5 pattern is consistent from the start; applying it forward yields 65, then 70.


Why Other Options Are Wrong:

  • 60 70 / 60 75 / 60 65: Insert 60 incorrectly; 55 + 10 is 65, not 60.
  • 70 65: Reverses the order and breaks the alternating rule.


Common Pitfalls:
Mixing the order of +10 and +5 or starting the alternation from the wrong point. Follow the step-by-step increments carefully.


Final Answer:
65 70

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