Geometric Sequences and Series
brynna18
math_assignment_1-unit_23.docxWrite a formula for the general term (the nth term) of each geometric sequence. Then use the formula for to find , the seventh term of the sequence.
21. 1.5, -3, 6, -12, ….
22. 5, -1, , , ….
Use the formula for the sum of the first n terms of a geometric sequence to solve 27 and 28
27. find the sum of the first 11 terms of the geometric sequence:
3, -6, 12, -24, ….
28. find the sum of the first 11 terms of the geometric sequence:
4, -12, 36, -108, ….
A statement about the positive integers is given. Write statements and , simplifying statement completely.
8. : 2+7+12+. . .+ (5n-3) =
9. : 2 is a factor of
Use mathematical induction to prove that each statement is true for every positive integer n.
15. 3+7+11+. . .+(4n-1) =
16. 2+7+12+. . .+(5n-3) =
