CURRICULUM MAP: 10925
Precalculus
Sequence and Series
TIME FRAME:
GRADE: 9-12
05.0 MATHEMATICS
05.0.0.0.1
nth term and arithmetic means of an arithmetic sequence
rhe sum of n-terms of an arithmetic series
the nth term and geometric means of a geometric sequence
the sum of n-terms of a geometric series
the limit of the terms of an infinite sequence
the sum of an infinite geometric series
converging and diverging series
sigma notation
Binomial Theorem
evaluation of e^x by using the exponential series
Euler's Formula
evaluation of logs of negative numbers
mathematical induction
find the nth term and the arithmetic means of an arithmetic sequence
find the sum of n terms of an arithmetic series
find the nth term and the geometric means of a geometric sequence
find the sum of n-terms of a geometric series
find the limit of the terms of an infinite sequence
find the sum of an infinite geometric series
determine whether a series is convergent or divergent
use sigma notation
use the binomial theorem to expand binomials
evaluate e^x by using the exponential series
use Euler's formula to write the exponential form of complex numbers
evaluate the logarithms of negative numbers
use mathematical induction to prove the validity of formulas