MAC1106 Lecture Notes - Lecture 38: Geometric Progression, Arithmetic Progression

• School: Miami Dade College
• Department: Mathematics: Calculus & Pre-Calculus
• Course: MAC1106
• Professor: Staff

Document Summary

13. 3 geometric sequences and series notes: sterling. Provide a generalization to each of the key terms listed in this section. F if th t erm nth t erm a1 a1r a1r2 a1r3 a1r4 a1rn 1 th term of a geometric sequence n. What is the formulas for the n th term of a geometric sequence? an = a1rn 1. 625, 125, 25, 5, an = a1rn 1 r = an an 1. 36, 18, 9, 4. 5 an = a1rn 1 r = an an 1. = 10000 (1) = 10000 a1 = 10000(cid:18) 1. = 10000(cid:18) 1 a2 = 10000(cid:18) 1 a3 = 10000(cid:18) 1 a4 = 10000(cid:18) 1 a5 = 10000(cid:18) 1 a6 = 10000(cid:18) 1 a7 = 10000(cid:18) 1 a8 = 10000(cid:18) 1. Sum of n terms of a geometric series. Annuities are sequences of periodic payments, which can be either investments to even loan pay- ments.