Three arithmetic means are inserted between a number and

MATHEMATICS · Multi-part · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

Three arithmetic means are inserted between a number xx and 3535. The five numbers obtained in this way have a combined sum of 151151. (i) Express the three means in terms of xx and the common difference. (ii) Using the information about the sum, form an equation to determine xx. (iii) Hence find the three arithmetic means.

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