Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a + \(\frac{1}{a}\) = -2, then

a17 + \(\frac{1}{a^{102}}\) equals to:

Options:

0

2

7

9

Correct Answer:

0

Explanation:

a + \(\frac{1}{a}\) = -2           [If a + \(\frac{1}{a}\) = -2, then a = -1 ⇒ a + \(\frac{1}{a}\) = 2 ⇒ a = 1 (always)]

So, (-1)17 + \(\frac{1}{(-1)^{102}}\) = -1 + 1 = 0