Problem 189. Sum all integers from 1 to 2^n

Created by Dimitris Kaliakmanis

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<div style = "text-align: start; line-height: 20.4333px; 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: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; "><div style="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: 384px 21px; text-align: left; transform-origin: 384px 21px; 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: 342.5px 8px; transform-origin: 342.5px 8px; unicode-bidi: normal; "><span style="">Given the number x, y must be the summation of all integers from 1 to 2^x. For instance if x=2 then y must be 1+2+3+4=10.</span></span></div></div></div>

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25495 Solutions
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Last Solution submitted on Sep 30, 2023

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21 Comments

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Dimitris Kaliakmanis on 11 Feb 2012

Carl Gauss's approach seems to be efficient for our brains but not for matlab

William Smith on 25 Sep 2012

There are TWO problems with the way this problem is stated. Find them both!

Alexander Wickstrom on 11 Jun 2015

Just go with your gut on this one.

Ned Gulley on 21 Jul 2016

John D'Errico wrote up some great commentary on this problem and how to go about solving it. http://blogs.mathworks.com/community/2016/07/21/numerical-analyst-john-derrico-takes-a-stroll-through-cody/

Muhammad M Sahari on 20 Dec 2016

try to put to numbers in a range and sum them up

goc3 on 23 May 2017

Additional test cases have been added.

Loris Chavée on 16 Jul 2017

Good one :)

Jonathon Cudaj on 5 Nov 2017

very nice

Oliviero Allan Ceresa Genet on 11 Nov 2017

easy easy

Thiago César on 4 Jan 2018

Gauss approves

Vishwanath Salokye on 30 Jan 2018

fun solving :)

Nishat Tarin on 4 May 2018

fun problem =/

Shaojie Xu on 25 Nov 2020

yea

Josiah Minotto on 16 Dec 2020

nice

Alireza yarmohammadi on 13 Mar 2021

nice stuff

Archana Narayanan on 25 Mar 2021

nice

Jingcheng Xiao on 1 Apr 2021

nice one

Jacqueline Li on 10 Nov 2021

good question

Seth Rollison on 27 Apr 2022

nice

Abdullah Al Baki on 27 Apr 2022

The question is soo easy that you won't be able to catch the trick soo easily.

DJ Campbell on 12 May 2023

Nice and easy beginners question using the sum function. Thanks Dimitris!

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Problem 189. Sum all integers from 1 to 2^n

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Last 200 Solutions

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Problem Recent Solvers13330

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Problem 189. Sum all integers from 1 to 2^n

Solution Stats

Last 200 Solutions

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Problem Recent Solvers13330

Suggested Problems

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