prove-that-the-given-statement-is-true-for-every-positive-integer-n-use-mathemat-8

Question

Prove that the given statement is true for every positive integer n. Use mathematical induction.5 + 25 + 125 + ... + $$5^{n}$$ = $$(5^{n + 1} - 5)/4$$

Accepted Answer

The statement is true for all positive values of n.

Answer

The statement is false.

Answer

The statement is false because, upon induction, the equation becomes inconsistent.

Answer

The statement is true only for n = {1}.

Prove that the given statement is true for every positive integer n. Use mathematical induction.5 + 25 + 125 + ... + 5n = (5n + 1 - 5)/4

Prove that the given statement is true for every positive integer n. Use mathematical induction.
5 + 25 + 125 + ... + 5ⁿ = (5^{n + 1} - 5)/4