For each of the following sequences answer the questions that follow

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

Problem

For each of the following sequences answer the questions that follow. (i) 3,  8,  13,  18,  …,  633,\;8,\;13,\;18,\;\dots,\;63 (ii) 7,  14,  21,  28,  …7,\;14,\;21,\;28,\;\dots (iii) 20,  17,  14,  11,  …,  −120,\;17,\;14,\;11,\;\dots,\;-1 (iv) 4,  12,  −3,  −112,  −7,  …4,\;\tfrac12,\;-3,\;-\tfrac{11}{2},\;-7,\;\dots (a) Write the common difference of the sequence, if it is an AP. (b) State whether the sequence is finite or infinite and give one reason for your answer with reference to the presence or absence of a last term. (c) For every sequence that is finite, determine the total number of terms.

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