Final answer:
Using summation properties and formulas to rewrite and evaluate a sum is a common technique in calculus.
Step-by-step explanation:
The statement is true. Using summation properties and formulas to rewrite and evaluate a sum is indeed a common technique in calculus.
When working with series or sums, various properties such as linearity, changing the order of terms, and manipulating individual terms can help simplify and evaluate the sum. Formulas like the arithmetic series formula and the geometric series formula are frequently used to find the sum of specific types of series.
For example, consider the arithmetic series 1 + 2 + 3 + ... + n. Using the formula Sn = (n/2)(a + l), where a is the first term, l is the last term, and n is the number of terms, we can rewrite and evaluate the sum as Sn = (n/2)(1 + n). This allows us to find the sum of any arithmetic series.