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Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2

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An Arithmetic Sequence is a sequence whose consecutive terms have a common difference, d.

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5. Find the first three terms of the arithmetic sequence with a 1 = 300 and d = 50. 6. Find the first three terms of the arithmetic sequence with a 1 = 220 and d = -25.

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a n = a 1 + (n – 1)d To find the nth term of an arithmetic sequence with first term a 1 and common difference d, use the following formula

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7. Write a formula for the general term of the arithmetic sequence 2, 7, 12, 17…

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8. Find the eighth term of the arithmetic sequence whose first term is 4 and whose common difference is – 7. 9. Find the ninth term of the arithmetic sequence that begins with 2 and 9. 10. Find a 6 when a 1 = 13 and d = 4.

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Sum of a Finite Arithmetic Sequence, called S n :

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11.Find the sum: 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 12. Find the sum of the integers from 1 to 100.

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13.Find the 150 th partial sum of the arithmetic sequence: 5, 16, 27, 38, 49…

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14. Find the following sum:

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