algebra 2 9.4 arithmetic series
TRANSCRIPT
September 22, 2017
Warm UpRecall: an = a1 + (n - 1)d
Multiple Choice: Given the arithmetic sequence below 2, 7, 12, 17, 22, 27,….
What term in the sequence is equal to 137?
A) 28th term
B) 27th term
C) 26th term
D) 25th term
Algebra 2 9.4 Arithmetic Series
September 22, 2017
Series Task: There are 10 rows of seats in an auditorium. Each consecutive row of seats has one additional seat added on to each end. The first row contains 15 seats, and, therefore, the second row has 17 seats. How many seats are in the seventh row?
September 22, 2017
Part Two:How many seats are in the auditorium in all? Explain your thought process using a picture, words, or algebraic reasoning.
September 22, 2017
Example 1:
Definition: A series is the sum of the terms of a sequence.
Arithmetic Sequence vs. Arithmetic Series
18, 22, 26, 30 18 + 22 + 26 + 30
September 22, 2017
Example 6: What is the sum of the finite arithmetic series,4+9+14+19+24+ ..... +99?
September 22, 2017
Sigma Notation
First value to put in for n
Last value to put in for n
Formula for the series