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Home » Substitute the given values into the formula: - Abbey Badges

Substitute the given values into the formula: - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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Now substitute \( t = 15 \) into \( h(t) \):
\( h(15) = -5(15)^2 + 150(15) + 100 = -5(225) + 2250 + 100 = -1125 + 2...
#### 1225
The sum of the first n terms of a geometric sequence is given by \( S_...
The general formula for the sum of the first n terms is \( S_n = a \fr...
Compare \( S_n = 3^n - 1 \) with the geometric sum formula. This sugge...
Thus, the sequence has first term \( a_1 = 3^1 - 1 = 2 \) and common r...
The nth term of a geometric sequence is \( a_n = a \cdot r^{n-1} = 2 \...
So, the 5th term is \( a_5 = 2 \cdot 3^{4} = 2 \cdot 81 = 162 \).
A committee of 4 people is to be chosen from 6 men and 5 women. What i...

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