Mathematics

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

n

, the

n^{\text{th}}

term of AP

N

is greater than that of AP

M

.},{ b) There exists an

n

after which the

n^{\text{th}}

term of AP

M

becomes greater than that of AP

N

.},{ c) For every

n

, the

n^{\text{th}}

term of AP

N

exceeds that of AP

M

by exactly

2

.},{ d) There is no value of

n

for which the

n^{\text{th}}

terms of the two APs are equal.

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