(5/7) ^ 2 + (5/7) ^ (3n + 1) = (5/7) ^ 4
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Answer:
n = 1/3
Step-by-step explanation:
(5/7)² + (5/7)³ⁿ⁺¹ = (5/7)⁴
Bases are same, equate the powers.
2 + 3n + 1 = 4
3 + 3n = 4
3n = 4 - 3
3n = 1
n = 1/3
Hope it helped you. Take care.
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