SOLUTION: Don't understand sequences, can anyone help? Evaluate this sum: S= 15 + 9 + 27/5 + 81/25 +.......

Question 169216: Don't understand sequences, can anyone help?
Evaluate this sum:
S= 15 + 9 + 27/5 + 81/25 +.......
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
ahhhhhhh they tried to be tricky on this one....well it simple enough to see we are working with 3's and 5's and that the numerator term say in 27/5 is while the denominator is and the next term 81/25 is numerator is while the denominator is , meaning the terms 3 and 5 are increasing by 1 each time. Its the 1st two terms that are the tricky ones but if you back the exponents up on each of the numerator and denominator making 9= then things begin to make some sense since. For 15 you would write this as=15
so now its easy to see the pattern which is where n is natural numbers starting with 1
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