If this is the problem, √2 makes no sense as an answer. Is this the problem exactly as written in your book? This doesn't have anything to do with geometric progression.MrNeWBiE said:Homework Statement
1. Evaluate 4^1/3 . 4^-1/9 . 4^1/27
MrNeWBiE said:2. express 0.85555 ... as a farction . ( hint: write 0.85555= 0.8+0.05(1+0.1+0.01+...))
The Attempt at a Solution
1. well in this question i think the " r " is in the power ,,, and it's -1/3
but how to complete it ,,, what is the story ?
the only think I know is the answer : √(2)
2.can anyone helps me and tell me what is needed in this question ?
A geometric progression (also known as a geometric sequence) is a sequence of numbers where each term is found by multiplying the previous term by a fixed number called the common ratio. The general form of a geometric progression is a, ar, ar2, ar3, ... where a is the first term and r is the common ratio.
The sum of a geometric progression can be found using the formula Sn = a(1 - rn)/(1 - r) where n is the number of terms, a is the first term, and r is the common ratio.
The nth term of a geometric progression can be found using the formula an = a x rn-1 where n is the term number, a is the first term, and r is the common ratio.
A sequence is a geometric progression if there is a constant ratio between each term. This means that dividing any term by the previous term will result in the same value. Additionally, the sequence should have a clear pattern of multiplying by the same number to get from one term to the next.
Yes, a geometric progression can have negative terms. The only requirement for a sequence to be considered a geometric progression is that there is a constant ratio between each term. This ratio can be positive or negative, as long as it is consistent throughout the sequence.