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Class 11 maths · E.3 · Sequences and Series

Find the sum of an arithmetic series

Add the first and last term, multiply by the number of terms, and halve it.

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  1. Find the sum of the first 6 terms of the arithmetic sequence −12, −9, −6, …

    Answer: -27

  2. Find the sum of the first 8 terms of the arithmetic sequence 4, −3, −10, …

    Answer: -164

  3. Find the sum of the first 9 terms of the arithmetic sequence −13, −12, −11, …

    Answer: -81

Tip: Add the first and last term, multiply by the number of terms, and halve it.

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