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Home » Shocked What This Tiny Pygmy Goat Can Do—Millions Are Weeping! - High Altitude Science

Shocked What This Tiny Pygmy Goat Can Do—Millions Are Weeping! - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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\[ 100 \div 11 = 9.09 \]
The smallest integer greater than or equal to 9.09 is 10, so:
\[ 11 \times 10 = 110 \]
Now, find the largest 3-digit number divisible by 11:
\[ 999 \div 11 = 90.8181 \]
The largest integer less than or equal to 90.8181 is 90, so:
\[ 11 \times 90 = 990 \]
The sequence of 3-digit numbers divisible by 11 is an arithmetic seque...
\[ l = a + (n-1) \times d \]
\[ 990 = 110 + (n-1) \times 11 \]

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Setting \( n = -2 \):
\( 1 = B(-1) \Rightarrow B = -1 \)
Setting \( n = -1 \):
\( 1 = A(1) \Rightarrow A = 1 \)
rac{1}{(n + 1)(n + 2)} = rac{1}{n + 1} - rac{1}{n + 2}
The series becomes:
\sum_{n=1}^{\infty} \left( rac{1}{n + 1} - rac{1}{n + 2}
This is a telescoping series. Writing the partial sum \( S_N \):
S_N = \left( rac{1}{2} - rac{1}{3}
ight) + \left( rac{1}{3} - rac{1}{4}

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