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Can some one help me to solve this QN.

Can some one help me to solve this QN.-example-1
User Emoun
by
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1 Answer

1 vote

Answer:

n = 4

Explanation:

3ⁿ⁺¹ - 3ⁿ⁻¹ = 216 Separate exponents

3ⁿ×3¹ - 3ⁿ×3⁻¹ = 216 Factor

3ⁿ(3 – ⅓) = 216

3ⁿ(8/3) = 216 Multiply each side by 3/8

3ⁿ = 81 Factor 81

3ⁿ = 3⁴ Compare exponents

n = 4

=====

Check:

3⁵ - 3³ = 216

243 – 27 = 216

216 = 216

User Vkubicki
by
5.8k points