Consider the sequence whose th term is given by for

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

Problem

Consider the sequence whose kkth term is given by tk=7−3kt_k = 7 - 3k for k≥1k \ge 1. Answer the following. (a) Write down the first four terms of the sequence. (b) Show that the sequence forms an arithmetic progression and determine its common difference. (c) Find the 15th term of the progression.

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