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AMO 2027 Grades 6-7 SET 20 - Self-study Question 1

AMO · AMO 2027 Grades 6-7 SET 20 - Self-study

Question 1

Find the sum of the following series:

$1+3+5+7+\cdots+197+199$


A. 10000

B. 90000

C. 19900

D. 19450

E. None of the above

**Editorial note for this self-study exercise:** The series contains every odd positive integer from 1 through 199. Enter the numerical sum without an option letter or thousands separators.