suppose x=(bn,bn-1...b2,b1,b0)base b . show that x is divisible by (b-1)is divisible by the summation of bi, i=0 up to n. (i wish i could find out how to write it in the notation that you guys use on here) also, i need to show that every bsae 7 palindrome interger w/ an even number of digits is divisible by 8. what i know so far.... could i show both of these by induction? also, i know that a palindrome is a number that reads forwards and backwards is the same. i.e. 7117=7117 a palindrome. the first one i honestly do not know where to get started, but could induction as i suggest show it? can anyone offer advise?