Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2
An Arithmetic Sequence is a sequence whose consecutive terms have a common difference, d.
5. Find the first three terms of the arithmetic sequence with a 1 = 300 and d = Find the first three terms of the arithmetic sequence with a 1 = 220 and d = -25.
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
7. Write a formula for the general term of the arithmetic sequence 2, 7, 12, 17…
8. Find the eighth term of the arithmetic sequence whose first term is 4 and whose common difference is – Find the ninth term of the arithmetic sequence that begins with 2 and Find a 6 when a 1 = 13 and d = 4.
Sum of a Finite Arithmetic Sequence, called S n :
11.Find the sum: Find the sum of the integers from 1 to 100.
13.Find the 150 th partial sum of the arithmetic sequence: 5, 16, 27, 38, 49…
14. Find the following sum: