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AMO 2027 Grades 4-5 SET 7 - Self-study Question 14

AMO · AMO 2027 Grades 4-5 SET 7 - Self-study

Question 14

Evaluate

a) $1+1\frac12+2+2\frac12+3+3\frac12+\cdots+9+9\frac12+10+10\frac12$

b) $\frac12+\frac14+\frac18+\frac1{16}+\frac1{32}+\frac1{64}$

c) $1-\frac13+2-\frac23+3-\frac33+4-\frac43+5-\frac53+6-\frac63$

Answer entry: enter (a); (b); (c), separated by a semicolon.

**Editorial input note:** Use no spaces before or after semicolons.