Question

sum of n odd numbers of consecutive numbers is divisible by N explain the reason​

Answer 1

Answer:

Step-by-step explanation:

sum of n odd consecutive numbers = 1+3+5 +...............+[2n -1]

                                                            = n/2[1 + 2n-1]

                                                            =n/2[2n]

                                                             =n^2

sum of n odd consecutive numbers  =n^2  is divisible by n