Nth Brackets

Algebra Level 2

Find the sum of the terms in the n th { n }^\text{th} pair of brackets:

(1, 2, 3, 4), (5, 6, 7, 8), (9, 10, 11, 12), ...

61n-6 66n-1 12n-3 16n-6

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Atul Shivam
Jan 17, 2016

I did it by hit and trial,

let us see the sum of number in first bracket ( 1 + 2 + 3 + 4 ) = 10 (1+2+3+4)=10

now sum of digits in second bracket ( 5 + 6 + 7 + 8 ) = 26 (5+6+7+8)=26

sum of digits in third bracket ( 9 + 10 + 11 + 12 ) = 42 (9+10+11+12)=42

now put n = 1 , 2 , 3 n=1,2,3 and see which option gives the above value, I found ( 16 n 6 ) (16n-6) to be the best option satisfying the above condition

so the correct answer is 16 n 6 \boxed{ 16n-6}

this process may be opposed by many people

Did the same. :)

A Former Brilliant Member - 5 years, 5 months ago
Arulx Z
Jan 19, 2016

First digit is 4 ( n 1 ) + 1 4(n-1) + 1 . Similary, second, third and fourth digit are 4 ( n 1 ) + 2 4(n-1) + 2 , 4 ( n 1 ) + 3 4(n-1) + 3 , 4 ( n 1 ) + 4 4(n-1) + 4 respectively.

Sum of these terms = 16 n 6 16n - 6 .

Provided that the question is MCQ, trial and error can also be used.

Moderator note:

Simple standard approach.

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...