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Home » Compute successive powers of 2 modulo 25: - Abbey Badges

Compute successive powers of 2 modulo 25: - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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The \(n\)-th term of a geometric sequence is given by \(a_n = a_1 \cdo...
For the 6th term: \(a_6 = 3 \cdot 2^{(6-1)} = 3 \cdot 2^5 = 3 \cdot 32...
Solve for \(x\) in the equation: \(2^{3x} = 64\).
Express 64 as a power of 2: \(64 = 2^6\).
Thus, \(2^{3x} = 2^6\).
Set the exponents equal: \(3x = 6\).
Solve for \(x\): \(x = rac{6}{3} = 2\).
Calculate the derivative of \(f(x) = 3x^4 - 5x^2 + 7x - 9\) with respe...
Use the power rule: \(rac{d}{dx}[x^n] = nx^{n-1}\).
\(rac{d}{dx}[3x^4] = 12x^3\),

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