SOLUTION: examine the following phrase famous by fred flintstone: yabbadabbadoo. if this pattern is repeated over and over again . what letter will be in the 275th position?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: examine the following phrase famous by fred flintstone: yabbadabbadoo. if this pattern is repeated over and over again . what letter will be in the 275th position?      Log On


   



Question 154508: examine the following phrase famous by fred flintstone: yabbadabbadoo. if this pattern is repeated over and over again . what letter will be in the 275th position?
Answer by AnlytcPhil(1807) About Me  (Show Source):
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examine the following phrase famous by fred flintstone: yabbadabbadoo. if this pattern is repeated over and over again . what letter will be in the 275th position?

"yabbadabbadoo" has 13 letters.

So the 275th letter of

yabbadabbadooyabbadabbadooyabbadabbadoo...

will be the 
same as the number of letter of 
"yabbadabbadoo" that corresponds to

275 mod 13

which is found by dividing 275
by 13 and taking the remainder:

    21
13)275
   26
    15
    13
     2

The remainder is 2, so the 275th
letter will be the same as the 2nd
letter of "yabbadabbadoo".

Answer: the letter "a"

Edwin