Question 19
An operation $\triangle$ is defined by the following pattern: $$3\triangle3=2+3+4,\qquad5\triangle2=4+5,$$ $$9\triangle6=8+9+10+11+12+13.$$ If $164\triangle x=2022$, find $x$.
Interpretation: Use the intended consecutive-sum rule: a △ b is the sum of b consecutive integers starting at a−1; b is a positive integer. The examples alone do not specify every possible abstract operation.
Answer format: enter the integer answer without units. Leading zeros are optional; the original paper uses four-digit boxes.
Interpretation: Use the intended consecutive-sum rule: a △ b is the sum of b consecutive integers starting at a−1; b is a positive integer. The examples alone do not specify every possible abstract operation.
Answer format: enter the integer answer without units. Leading zeros are optional; the original paper uses four-digit boxes.