UKMT Pink Kangaroo, 2021

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

Each box in the strip shown is to contain one number. The first box and the eighth box each contain 2021. Numbers in adjacent boxes have sum $T$ or $T+1$ as shown. What is the value of $T$ ?

(A) $4041$ (B) $4042$ (C) $4043$ (D) $4044$ (E) $4045$

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