(7n + 2 + 35×7n - 1)/(6 × 7n) = ?

(7^{n + 2} + 35×7^{n - 1})/(6 × 7ⁿ) = ?

A -1

C 9

D 1/9

Correct Answer: Option C

(7^{n + 2} + 35×7^{n - 1})/(6 × 7ⁿ)
= {7ⁿ.7² + (5 × 7) × 7^{n - 1}}/(6 × 7ⁿ)
= (49 × 7ⁿ + 5 × 7ⁿ)/(6 × 7ⁿ)
= (54 × 7ⁿ)/(6 × 7ⁿ)
= 9