Problem 56298. Sum of Consecutive Positive Integers Equals Product of Limiting Values

Created by David Hill

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<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 80.9549px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.493px 40.4688px; transform-origin: 406.493px 40.4774px; vertical-align: baseline; "><div style="block-size: 20.9896px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.49px 10.4861px; text-align: left; transform-origin: 383.498px 10.4948px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Determine m and n for the following equation: </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="167.5" height="18" style="width: 167.5px; height: 18px;"></span></div><div style="block-size: 20.9896px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.49px 10.4861px; text-align: left; transform-origin: 383.498px 10.4948px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">For example: 3 + 4 + 5 + 6 = 6*3 is the first occurance that satisfies the equation where m=3 and n=6.</span></span></div><div style="block-size: 20.9896px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.49px 10.4861px; text-align: left; transform-origin: 383.498px 10.4948px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Output the sum of the digits of m and n for the Nth occurance.</span></span></div></div></div>

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Problem 56298. Sum of Consecutive Positive Integers Equals Product of Limiting Values

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Problem 56298. Sum of Consecutive Positive Integers Equals Product of Limiting Values

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Last 200 Solutions

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