For every integer

MATHEMATICS · Single correct · CBSE · Mathematics · Linear Inequalities · Linear Inequalities

Problem

For every integer

n\ge 1

, let

a_n=\dfrac{7}{4^{n}+2}

. Which of the following inequalities is true for all such

n

? (a)

a_n>\dfrac{7}{4^{n}}

(b)

a_n>\dfrac{7}{4^{\,n-1}}

(c)

a_n<\dfrac{7}{4^{n}}

(d)

a_n>\dfrac{7}{5^{n}}