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2023 AMC 8 Question 25

AMC8 · 2023 AMC 8

Question 25

Fifteen integers $a_1,$ $a_2,$ $a_3,$ $\cdots,$ $a_{15}$ are arranged in order on a number line. The integers are equally spaced and have the property that

$$
1 \leq a_1 \leq 10,
$$

$$
13 \leq a_2 \leq 20,
$$

and

$$
241 \leq a_{15} \leq 250.
$$

What is the sum of the digits of $a_{14}?$
  1. $8$
  2. $9$
  3. $10$
  4. $11$
  5. $12$