Evaluate the sum.
-$$\sum _ { \mathrm { k } = 0 } ^ { 10 } ( - 1 ) ^ { \mathrm { k } }$$
A) 1
B) 10
C) 11
D) 0

Name: Evaluate the sum. -\[\sum _ { \mathrm { k } = 0 } ^ { 10 } ( - 1 ) ^ { \mathrm { k } }\] A) 1 B) 10 C) 11 D) 0
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Question

Quizplus · Accepted Answer

The sum alternates between adding 1 and subtracting 1, starting with $1$ when $k=0$. Since there are 11 terms (from $k=0$ to $k=10$), the sum ends with 1, as the first term is positive and there's an odd number of terms.

Evaluate the Sum ∑k=010(−1)k\sum _ { \mathrm { k } = 0 } ^ { 10 } ( - 1 ) ^ { \mathrm { k } }k=0∑10​(−1)k

Evaluate the Sum $\sum _ { \mathrm { k } = 0 } ^ { 10 } ( - 1 ) ^ { \mathrm { k } }$