Jump to content
-_-

Nilai selang-seling

Recommended Posts

Tentukan nilai dari $1+2-3-4+5+6-7-8+\dotsc+2013+2014-2015-2016+2017!$

KSM MTs tingkat Nasional 2017, No 1

Share this post


Link to post
Share on other sites
26 minutes ago, -_- said:

Tentukan nilai dari 1+234+5+678++2013+201420152016+2017!1+2−3−4+5+6−7−8+…+2013+2014−2015−2016+2017!

KSM MTs tingkat Nasional 2017, No 1

1

Share this post


Link to post
Share on other sites

$1+2-3-4=-4$

$5+6-7-8=-4$

$9+10-11-12=-4$

$...$

$2013+2014-2015-2016=-4$

$_____________________________+$

$(-4)\times504 = -2016$

Sehingga $1+2-3-4+5+6-7-8+...+2013+2014-2015-2016+2017 = -2016+2017=1$.

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now


×