Two arithmetic progressions are given: AP M: first term 7

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Two arithmetic progressions are given: AP M: first term 7, common difference 5 AP N: first term 9, common difference 3 Which of the following statements is true regarding their nth terms? (a) For every nn, the nthn^{\text{th}} term of AP NN is greater than that of AP MM.},{ (b) There exists an nn after which the nthn^{\text{th}} term of AP MM becomes greater than that of AP NN.},{ (c) For every nn, the nthn^{\text{th}} term of AP NN exceeds that of AP MM by exactly 22.},{ (d) There is no value of nn for which the nthn^{\text{th}} terms of the two APs are equal.

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