Infinite decreasing progression
Answers are for parents and teachers.
1
Find 27 + 9 + 3 + ...
40.5
2
In an infinite decreasing progression q = 1/3 and b₃ = 2. Find its sum (find b₁ first).
27
3
Write 0.(45) as an ordinary fraction.
5/11
4
Prove that b_n = 5 : 3^n is an infinite decreasing progression.
b_(n+1) : b_n = 1/3, so |q| < 1.
5
In an infinite decreasing progression b₁ = 9 and S = 12. Find q.
1/4