Prove that each term of the following sequence is a perfect square:

49 , 4489 , 444889 , 44448889............................

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- Sep 15th 2012, 09:23 AMgeniusgarvilseries
Prove that each term of the following sequence is a perfect square:

49 , 4489 , 444889 , 44448889............................ - Sep 15th 2012, 09:44 AMHallsofIvyRe: series
Your very first number is NOT a perfect square! You obviously mean 49, not 44. And then each succeeding number is gained by putting a new "4" and "8" into the center. Have you looked at the square root of each of those numbers? That should give you a hint.

- Sep 15th 2012, 11:02 AMSorobanRe: series
Hello, geniusgarvil!

Quote:

Prove that each term of the following sequence is a perfect square:

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. . . . . - Sep 15th 2012, 08:18 PMgeniusgarvilRe: series
wow, that's really amazing. Thanx