Notation for sums

For each of the summations below, the corresponding activity will lead you to explore the recursive nature of sums as well as some patterns generated by sums.

• Summation 1. 1 + 2 + 3 + ··· + n
• Summation 2. 2 + 4 + 6 + ··· + 2n
• Summation 3. 1 + 3 + 5 + ··· + (2n - 1)
• Summation 4. 1 + 3 + 7 + ··· + (2ⁿ - 1)