Really?

Algebra Level 3

Evaluate 1 + 2 + ⋯ + 100 1+2+\cdots +100 .

Leave your answer to 5 significant figures.

5050.0 5050 5000 None of the other options are correct. 5050.00 5050.000

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1 solution

Ananth Jayadev
Jan 21, 2016

To find the sum of terms in a sequence from 1 1 to n n , you use the formula n ( n + 1 ) 2 \frac {n(n + 1)}{2} . When you plug in the numbers you get 100 ( 100 + 1 ) 2 = 100 ( 101 ) 2 = 10100 2 = 5050 \frac {100(100 + 1)}{2} = \frac {100(101)}{2} = \frac {10100}{2} = 5050 .

Now, the question asked you to put the answer as if it had 5 digits. As we all know, 5050 = 5050.0 5050 = 5050.0 . Thus the answer to this problem was 5050.0 5050.0 .

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how are you even supposed to know to use this equation, there isint enough information to.figurw this out without being proficient at this type of math

Rebecca-Lynn Woods - 5 years, 4 months ago

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