Show that for an arithmetic progression whose first term is and common difference is

MATHEMATICS · Subjective · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

Show that for an arithmetic progression whose first term is aa and common difference is dd, the sum of terms from the pp-th to the qq-th term inclusive equals q−p+12 [ 2a+(p+q−2)d ].\frac{q-p+1}{2}\,[\,2a + (p+q-2)d\,].

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