Mathematics

This is about understanding sigma notation as a shorthand for repeated addition. The key is to substitute each value of $k$ from the lower limit (2) to the upper limit (5) into the expression $2^{k+1}$, then write out all the resulting terms added together. Think of it as "unrolling" the compact notation into its full form—each step is straightforward arithmetic, and you'll see a pattern emerge in the powers of 2.

This is about understanding sigma notation as a shorthand for repeated addition. The key is to substitute each value of $k$ from the lower limit (2) to the upper limit (5) into the expression $2^{k+1}$, then write out all the resulting terms added together. Think of it as "unrolling" the compact notation into its full form—each step is straightforward arithmetic, and you'll see a pattern emerge in the powers of 2.