OCR C2 — Question 3

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
TopicArithmetic Sequences and Series
  1. (i) Evaluate
$$\sum _ { r = 1 } ^ { 50 } ( 80 - 3 r )$$ (ii) Show that $$\sum _ { r = 1 } ^ { n } \frac { r + 3 } { 2 } = k n ( n + 7 )$$ where \(k\) is a rational constant to be found.
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