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The sum of the first 100 positive integers is how much great
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13 Oct 2020, 06:26
13 Oct 2020, 06:26
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Question Stats:
86% (01:41) correct
13% (01:26) wrong based on 45 sessions
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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
Kudos for the right answer and explanation
A. 905
B. 1,800
C. 1,805
D. 1,810
E. 1,820
Kudos for the right answer and explanation
Re: The sum of the first 100 positive integers is how much great
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16 Oct 2020, 00:04
16 Oct 2020, 00:04
1
Quote:
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 = \(\frac{(first Term + Last Term)}{2}\)
Step 2: Calculation
sum of the first 100 positive integers = \(\frac{(1+100)}{2}\) * 100 = 101 * 50 = 5050
sum of the first 80 positive integers = \(\frac{(1+80)}{2}\) * 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
Re: The sum of the first 100 positive integers is how much great
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29 May 2022, 17:53
29 May 2022, 17:53
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