Solve 1/20(1+2(10049+10198+10440+10770+11180+11661+12206+12806+13453+14142))

$$\frac{ 1 }{ 20 } (1+2(10049+10198+10440+10770+11180+11661+12206+12806+13453+14142))$$

Evaluate

$$\frac{233811}{20}=11690.55$$

Solution Steps

Add 10049 and 10198 to get 20247.

$$\frac{1}{20}\left(1+2\left(20247+10440+10770+11180+11661+12206+12806+13453+14142\right)\right)$$

Add 20247 and 10440 to get 30687.

$$\frac{1}{20}\left(1+2\left(30687+10770+11180+11661+12206+12806+13453+14142\right)\right)$$

Add 30687 and 10770 to get 41457.

$$\frac{1}{20}\left(1+2\left(41457+11180+11661+12206+12806+13453+14142\right)\right)$$

Add 41457 and 11180 to get 52637.

$$\frac{1}{20}\left(1+2\left(52637+11661+12206+12806+13453+14142\right)\right)$$

Add 52637 and 11661 to get 64298.

$$\frac{1}{20}\left(1+2\left(64298+12206+12806+13453+14142\right)\right)$$

Add 64298 and 12206 to get 76504.

$$\frac{1}{20}\left(1+2\left(76504+12806+13453+14142\right)\right)$$

Add 76504 and 12806 to get 89310.

$$\frac{1}{20}\left(1+2\left(89310+13453+14142\right)\right)$$

Add 89310 and 13453 to get 102763.

$$\frac{1}{20}\left(1+2\left(102763+14142\right)\right)$$

Add 102763 and 14142 to get 116905.

$$\frac{1}{20}\left(1+2\times 116905\right)$$

Multiply 2 and 116905 to get 233810.

$$\frac{1}{20}\left(1+233810\right)$$

Add 1 and 233810 to get 233811.

$$\frac{1}{20}\times 233811$$

Multiply \frac{1}{20} and 233811 to get \frac{233811}{20}.

$$\frac{233811}{20}$$

Factor

$$\frac{3 ^ {2} \cdot 83 \cdot 313}{2 ^ {2} \cdot 5} = 11690\frac{11}{20} = 11690.55$$