Medium
What is the remainder on dividing the sum 2 + 2 squared + 2 cubed + ... + 2 to the power 10 by 10?
What is the remainder on dividing the sum 2 + 2 squared + 2 cubed + ... + 2 to the power 10 by 10?
The sum 2+4+8+...+1024 = 2046 (using the formula 2(2^10-1)). Dividing 2046 by 10 gives a remainder of 6.
Re-check your working by substituting the answer back into the original question.