Question

If A = (3/1 -4/-1), prove that An =( 1+2n/n -4n/1-2n), where n is any positive integer.

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Answer 1

Answer:

nduction

A class of integers is called hereditary if, whenever any integer x belongs to the class, the successor of x (that is, the integer x + 1) also belongs to the class. The principle of mathematical induction is then: If the integer 0 belongs to the class F and F is hereditary, every nonnegative integer belongs to F. Alternatively, if the integer 1 belongs to the class F and F is hereditary, then every positive integer belongs to F. The principle is stated sometimes in one form, sometimes in the other. As either form of the principle is easily proved as a consequence of the other, it is not necessary to distinguish between the two.

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