JEE Mathematics · Medium

Sequences and Series: Standard result MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Standard resultMediumQuestion 210030

Question

The sum of the series 2 + 5 + 10 + 17 + 26 + ... to n terms (differences are 3, 5, 7, 9, ...) can be found using:
  1. A
    Direct AP formula
  2. B
    Method of differences
    Correct
  3. C
    GP formula
  4. D
    HM formula

Correct answer

Method of differences

Explanation

When differences are not constant but form an AP, use the method of differences: subtract successive terms to identify the pattern, then sum.