IKMC 2027 - Grades 7-8 - Self-study SET 4 - Thematic Batch 3 Question 25

Question 25

Let $A=\underbrace{\frac12+\frac12+\ldots+\frac12}_{1009\text{ terms}}$, $B=\underbrace{\frac14+\frac14+\ldots+\frac14}_{2018\text{ terms}}$, and $C=\underbrace{\frac18+\frac18+\ldots+\frac18}_{4026\text{ terms}}$. Which statement is true?

Question illustration

$A\lt B\lt C$
$A=B\lt C$
$A\lt B=C$
$A=B=C$
None of the above statements is true.