Let \(S(n)\) equal the sum of the digits of positive integer \(n\). For example, \(S(1507)=13\) . For a particular positive integer \(n\), \(S(n)=1274\). Which of the following could be the value of \(S(n+1)\)?
I'm getting 1239 as an answer.
Please help!
n is an integer..... n+1 is the NEXT sequential integer.....obtained by adding '1' to the n integer....so the sum of the digits COULD be '1' greater. Is this a multiple choice question? What are your choices?
1275
The question asks what 'could' the next one be.....and we weren't given any multiple choices...
We are looking for an integer whose sum of its digits = 1274
Here's a possibility :
S(n) = 1274 = S ( 7777....7) where we have 7 repeated 182 times
Note that 7 * 182 = 1274
So.... S ( n + 1) = S( [7777....7] + 1 ) = S(1275) = S (555.....5) where we have 5 repeated 255 times
Note that 255 * 5 = 1275
We are talking about a VERY large number here....there are thousands of possibilities....without knowing the starting a1 and the r of the series and where in the series you are, it could be almost anything.....were you given any more information...or multiple choices?