Pre Calc Section 7.2

This section contains information on Summation Notation.

A sequence is an ordered list of numbers

The domain of a sequence must be natural numbers, as opposed to a function, which has the domain of all real numbers.

Sigma Notation/Summation Notation

F(i)= is the explicit formula for a sequence you are taking the sum of.

n= the upper limit

i=1 is the lower limit

F(i)=F1+F2+F3+F4+..................F(N)

You take the sum, starting from the lower limit (1), until you hit the upper limit (N).

YOU DONT HAVE N # OF TERMS, YOU STOP SUMMATION WHEN YOU HIT THE NTH TERM!

To solve in graphing calculator

SUM(SEQ(explicit formula, variable, lower limit, upper limit))

Sigma Takes Commas out and turns them into pluses.

FORMS A SERIES

Partial Sums

Let N = 5

Series Starts at 1 and goes until N, in this case 5.

S15=15th Partial Sum