Three arithmetic means are inserted between two numbers so that the five-term…

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

Problem

Three arithmetic means are inserted between two numbers so that the five-term sequence obtained is a,  8,  13,  18,  ba,\;8,\;13,\;18,\;b. (i) Express the second and third terms of this sequence in terms of the first term aa and the common difference dd. (ii) Using the given numerical values of the three inserted means, determine the common difference dd and hence find the two original numbers aa and bb.

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