Let a₁, a₂, …, a₂₀₂₄ be an Arithmetic Progression such that a₁ + (a₅ + a₁₀ + a₁₅ + … + a₂₀₂₀) + a₂₀₂₄ = 2233. Then a₁ + a₂ + a₃ + … + a₂₀₂₄ is equal to
________.

a₁ + a₅ + a₁₀ + a₁₅ + … + a₂₀₂₀ + a₂₀₂₄ = 2233
In an A.P. the sum of terms equidistant from ends
is equal.
a₁ + a₂₀₂₄ = a₅ + a₂₀₂₀ = a₁₀ + a₂₀₁₅ …..
$\Rightarrow$203 pairs
$\Rightarrow$203(a₁ + a₂₀₂₄) = 2233
Hence,
${\mathrm{S}}_{2024}=\frac{2024}{2}\left({\mathrm{a}}_1+{\mathrm{a}}_{2024}\right)$
= 1012 × 11
= 11132