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Home » Altitude to leg \(b = 8\): - Veritas Home Health

Altitude to leg \(b = 8\): - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \[ = 45\pi \] cubic meters.

📌 In liters: \( 45\pi \times 1000 \approx 141,372 \) liters (using \( \pi \approx 3.1416 \)).

📌 A sequence is defined by \( a_n = 2a_{n-1} + 3 \) with \( a_1 = 1 \). What is \( a_5 \)?

📌 \( a_1 = 1 \)

📌 \( a_2 = 2(1) + 3 = 5 \)

📌 \( a_3 = 2(5) + 3 = 13 \)

📌 \( a_4 = 2(13) + 3 = 29 \)

📌 \( a_5 = 2(29) + 3 = 61 \)

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\sum_{k=1}^{10} k^3 = \left(rac{10 \cdot 11}{2}
ight)^2 = (55)^2 = 3025.
Now compute $3025 \mod 9$. Use the digit sum method:
Digit sum of $3025$: $3 + 0 + 2 + 5 = 10$, then $1 + 0 = 1$, so $3025...
Alternatively, divide: $3025 \div 9 = 336 imes 9 = 3024$, remainder $...
Thus, the remainder is $1$.
Therefore, the answer is $oxed{1}$.
Question: What is the greatest common divisor of $3^{15} - 1$ and $3^9...
Solution: Use the property:
\gcd(a^m - 1, a^n - 1) = a^{\gcd(m,n)} - 1, \quad ext{for } a > 1.

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