First, the quickest way to find information about a sequence is the Online Encyclopedia of Integer Sequences. Using their search form, one can quickly find that your sequence

We can only talk about cross sectional area if it is the same everywhere. i.e. The shape has to be a prism, for example a cuboid, a cylinder, a triangular prism. None of the shapes you give are prisms

Hi Yes, it could. For instance, while ($35.95/1 year)/$1000 means the same as ($35.95/$1000)/1 year, changing the placement of the parentheses gives $35.95/(1 year/$1000) and $35.95/($1000/1 year) respectively

Hi Prashant, Yes. When the power is expressible as a fraction p/r, then x^(p/r) equals the rth root of x^p. When the power is a non-repeating decimal and cannot be expressed as a fraction, we can

As long as the matrix is not singular, it can be inverted, though the answer may look somewhat complicated. To give an easy, take the matrix √2 1 1 √2 (which has a determinant of √

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