Latest TCS Aptitude Question SOLUTION: . the sequence {An} is defined by A1=2 and An+1=An +2n what is the value of A(100)

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(#M40012834) TCS question Keep an EYE

. the sequence {An} is defined by A1=2 and An+1=An +2n what is the value of A(100)

Asked In TCS (11 years ago)

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Manisha Gupta  (11 years ago)

9902..

a2= a1+2
a3= a2+4 == a1+2+4
a4= a1+2+4+6
....

a100= a1+2+4+.. +198
= a1+ 99/2 * (2+198)
=9902

Is this solution Helpfull? Yes (23) | No (4)  

sravya  (11 years ago)

given A(n+1)=A(n)+2n
A(100)=A(99)+2(99)
=A(98)+2(98)+2(99)
=A(97)+2(97)+2(98)+2(99) and so on...

=A(1)+2(1)+..........+2(98)+2(99)
=2+2(1)+2(2)+.......+2(98)+2(99)
=2+2(1+2+3+........+98+99)
=2+2(99*100)/2 since sum of n natural no's=n*(n+1)/2
=9902 is answer

Is this solution Helpfull? Yes (13) | No (2)  

Anshika Rastogi  (11 years ago)

please write correct questions

Is this solution Helpfull? Yes (1) | No (5)  

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