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### Finding the sum of an arithmetic sequence

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Core Mathematics - Finding the sum of an arithmetic sequence

Finding the sum of an arithmetic sequence

Two examples follow. Each requires you to find the sum of an arithmetic
sequence.

requires you to view the video and then to determine the sum of the
arithmetic sequence.

. The solution has been provided for the question below. Follow it
through, line by line, to ensure you understand the process of finding the
sum of the arithmetic sequence.

Members of the school athletic squad are provided with fruit after
training. The squad attracts 10 students in the first week, but grows by 4
every week for 20 weeks. How much fruit does the school supply in the 20
weeks?

Find the sum of the first 20 terms of the sequence. {10, 14, 18, 22
......}

You should now be familiar with the process of finding the sum of the
terms in an arithmetic sequence. Test your understanding with the following
revision questions.

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