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If the sum of the first 500 positive integers is k, what is the sum of
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08 Feb 2022, 05:00
08 Feb 2022, 05:00
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Question Stats:
45% (01:47) correct
54% (01:44) wrong based on 11 sessions
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If the sum of the first 500 positive integers is k, what is the sum of the first 1000 positive integers in terms of k?
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2k+250,000
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Re: If the sum of the first 500 positive integers is k, what is the sum of
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24 Feb 2022, 23:48
24 Feb 2022, 23:48
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Carcass wrote:
If the sum of the first 500 positive integers is k, what is the sum of the first 1000 positive integers in terms of k?
Show: ::
2k+250,000
Average of first n cons. integers = (Last+First)2
Sum = (Average)(number of terms)
k = Sum of first 500 +ve integers = (500+1)2(500)=(501)(250)
Sum of first 1,000 +ve integers = (1,000+1)2(1,000)=(1,001)(500)
Rewrite (1,001)(500) as (501+500)(250+250)
(501)(250)+(501)(250)+(500)(250)+(500)(250)
k+k+2(500)(250)
2k+(500)(500)
2k+250,000
General Discussion
Re: If the sum of the first 500 positive integers is k, what is the sum of
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14 Sep 2023, 08:06
14 Sep 2023, 08:06
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