Math - 2018-19
MA.13 - Finite and Infinite Convergent Series
MA.13 the student will determine the sum of finite and infinite convergent series.
UNDERSTANDING THE STANDARD
· Examination of infinite sequences and series may lead to a limiting process.
· Arithmetic sequences have a common difference between any two consecutive terms.· Geometric sequences have a common ratio between any two consecutive terms.
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to
· MA.131 Use and interpret the notation: å, n, nth, and an.
MA.133 Given the formula, determine the nth term, an,
for an arithmetic or geometric sequence.
MA.134 Given the formula, determine the sum, Sn,
if it exists, of an arithmetic or geometric series.
· MA.132 Derive the formulas associated with arithmetic and geometric sequences and series.
and solve problems, using sequence
and series information.
between a convergent and divergent series.
convergent series in relation to the concept of a limit.