Register

CAT 2003 | Question: 1-110

• edited by
2,498 views

2 Answers

Best answer
2 2 votes
N th no. Of AP series= a+(N-1)d

a first element and d difference

Frm ques 3rd element a+2d

Similarly

 (a+2d) + (a+14d) = ( a+5d) + (a+10d) + (a+12d)

 => a+11d = 0

Its 12th element which is zero
• selected by
2 2 votes
A common arithmetic progression is

a, a+d, a+2d, a+3d, a+4d,.....

where 'a' is the first element and 'd' is the common difference

As per the question,

the sum of 3rd and 15th elements is equal to the sum of 6th, eleventh and 13th elements, deriving from the formula

(a+2d) + (a+14d)=(a+5d)+(a+10d)+(a+12d)

2a+16d=3a+27d

2a+16d-3a-27d=0

a+11d=0

So the 12th element of the series is ZERO
Voting & Accepting an answer helps improve the community
← Previous · CAT 2003 | Question:...Next → · CAT 2003 | Question:...
← Previous in category · CAT 2003 | Question:...Next in category → · CAT 2003 | Question:...
Position:
Show:

Related questions

0 0 votes
0 0 answers
2.1k
2.1k views
go_editor asked Feb 10, 2016
2,142 views
CAT 2003 | Question: 1-140
if $\log_3\left(2^x - 5\right), \: \log_3\left(2^x - \frac{7}{2}\right)$ are in arithmetic progression, then the value of $x$ is equal to$5$$4$$2$$3$
0 0 votes
1 answers 1 answer
5.5k
5.5k views
go_editor asked May 3, 2016
5,535 views
CAT 2003 | Question: 1-102
Answer the question on the basis of the information given below:A certain perfume is available at a duty-free shop at the Bangkok international airport. It is priced in t...
0 0 votes
0 0 answers
1.7k
1.7k views
go_editor asked May 3, 2016
1,710 views
CAT 2003 | Question: 1-104
New Age Consultants have three consultants Gyani, Medha and Buddhi. The sum of the number of projects handled by Gyani and Buddhi individually is equal to the number of p...
0 0 votes
0 0 answers
1.7k
1.7k views
go_editor asked May 3, 2016
1,690 views
CAT 2003 | Question: 1-113
Answer the question on the basis of the information given below:A city has two perfectly circular and concentric ring roads, the outer ring road (OR) being twice as long ...
0 0 votes
0 0 answers
1.7k
1.7k views
go_editor asked May 3, 2016
1,708 views
CAT 2003 | Question: 1-112
Answer the question on the basis of the information given below:A city has two perfectly circular and concentric ring roads, the outer ring road (OR) being twice as long ...