5^n+2 - 5^n+1/5^n+3
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Answer:
Taking the numerators first,
10x5^(n+1) + 25x5^(n)
= 10x(5^n)*5 + 25x5^n
= 25(5^n) {2+1}
= 75(5^n)
Now denominator,
3x5^(n+2) + 10x5^(n+1)
= 3x(5^n)*(5^2) + 10x(5^n)*5
= 25(5^n) {3+2}
Numerator / Denominator
Gives ans as 3/5.
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