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What are the last number in line 10 and the sum of numbers in line 12, and how do you quickly add the first 20 odd numbers?
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3 partsStep-by-step solution
6 stepsHere are the solutions to the questions:
Part 2.2· 2 steps
Identify the pattern for the last number in each line.
The last number in Line is given by the formula .
Calculate the last number for Line 10.
For Line 10, substitute into the formula:
The last number in Line 10 is .
Part 2.3
Identify the pattern for the sum of numbers in each line.
The sum of the numbers in Line is given by the formula .
Calculate the sum for Line 12.
For Line 12, substitute into the formula:
All of the numbers in Line 12 add up to .
Part 2.4
To quickly add up the first 20 odd numbers, you can use the pattern observed: the sum of the first odd numbers is equal to .
Identify the number of odd numbers to be added.
We need to add the first 20 odd numbers, so .
Apply the pattern to find the sum.
The sum of the first 20 odd numbers is .
A quick way to add up the first 20 odd numbers is to square the number of odd numbers, which is .
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