Practice Example 1 (1.3) - Finite Series - IB 10 Mathematics

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6 sample questions

Question 1.
Find the first term (a) of the series: 2, 5, 8, 11.
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It's the very first number in the sequence.
Question 2.
What is the common difference (d) in the series: 1, 4, 7, 10?
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Find the difference between two consecutive terms.
3Question 3.
What is the formula for the sum of the first n terms of an arithmetic series?
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Think about how many terms and the differences between them.
4Question 4.
True or False: The sum of an arithmetic series can be calculated if you know the first term and the common difference.
- True
- False
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Remember the formula requires these variables.
Question 5.
An arithmetic sequence has a first term of 9 and a common difference of -2. Determine the sum of the first 20 terms.
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Pay attention to the negative common difference.
Question 6.
The nth term of an arithmetic series is 50, and the first term is 10 with a common difference of 5. Find the number of terms n.
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Rearranging the formula will help isolate n.

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