Geometric Sequences

Mpooh, you asked in the problem of the geometric sequence if square root of two over two was the ratio between 2 and square root of 2. To figure out this you must do one simple step. If you have a geometric sequence you must always be able to multiply the n term times the ratio and get n+1. n *r=n+1. If you are given both n and n+1 you just have to solve for the variable. So, 2 * r = negative square root of 2. The answer will be negative quare root of two over two. This way you will know it is the ratio, only if you have been told it is a geometric sequence. On the other hand you asked for what is a ratio. It is aA relationship between two quantities, normally expressed as the quotient of one divided by the other. For example the ratio of 8 and 5 in 8/5.