If n N , then 121^ n -25^ n +1900^ n -(-4)^ n is divisible by which one of the following?

Step-by-step solution

aligned & n ~N & 121^ n -25^ n +1900^ n - (-4^ n ) aligned Let us substitute n =1 We get, (121)^1-(25)^1+(1900)^1- (-4^1 )=121-25+1900+4=2025-25=2000 So, given expression is divisible by 2000