Comment on the next question when the teacher calls on you while you're asleep and you answer correctly
jackr@lemmy.dbzer0.com 14 hours agoA geometric sequence is a sequence (that is an ordered list of numbers, usually following some pattern). The nth number in this sequence (a_n) can be generated by multiplying the base a by r^n, so a_2 would be a*r^2. Hope that makes it clear!
Bubs@lemmy.zip 14 hours ago
I can mostly get it. I would probably have to see examples in practice to fully grasp it.
renormalizer@feddit.org 13 hours ago
It’s a sequence of numbers where the next number is a fixed multiple of the previous one.
1 2 4 8 16 32 … Is a sequence with a ratio of 2.
96 48 24 12 6 3 … Is the sequence from the question with a ratio of 1/2. You see that elements 2 and 4 (counting from zero) sum to 30 and elements 3 and 5 sum to 15.
In general, the sequence can be expressed as a_k = c r^k for some starting value c and the ratio r.