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The sum of the first 100 positive integers is how much great

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The sum of the first 100 positive integers is how much great [#permalink] New post   13 Oct 2020, 06:26
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The sum of the first 100 positive integers is how much greater than the sum of the first 80 positive integers?

A. 905

B. 1,800

C. 1,805

D. 1,810

E. 1,820


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Re: The sum of the first 100 positive integers is how much great [#permalink] New post   16 Oct 2020, 00:04
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The sum of the first 100 positive integers is how much greater than the sum of the first 80 positive integers?

Step 1: Understanding the question
Sum of consecutive integers = Average * number of terms
Average of consecutive integers = (firstTerm+LastTerm)2

Step 2: Calculation
sum of the first 100 positive integers = (1+100)2 * 100 = 101 * 50 = 5050

sum of the first 80 positive integers = (1+80)2 * 80 = 81 *40 = 3240

Difference between sum of the first 100 positive integers and sum of the first 80 positive integers = 5050 - 3240 = 1810

D is correct
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Re: The sum of the first 100 positive integers is how much great [#permalink] New post   29 May 2022, 17:53
Hello from the GRE Prep Club BumpBot!

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Re: The sum of the first 100 positive integers is how much great [#permalink]
29 May 2022, 17:53
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