Algebra

Quantitative Aptitude (RRB NTPC)

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If 2^n-1+ 2ⁿ⁺¹ = 320, then n is equal to:

6

8

5

7

Explanation:

Given equation :
2ⁿ⁻¹ + 2ⁿ⁺¹ = 320
⇔ 2ⁿ⁻¹(1+2²) = 320
⇔ 5 x 2ⁿ⁻¹= 320
⇔ 2ⁿ⁻¹ = 320 / 5
= 64 = 2⁶
From the eqution power :
⇔ n−1 = 6 ⇔ n = 7.

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