Latest MBA Aptitude Question SOLUTION: Find the sum of the series:7/2 + 19/6 + 37/12 + ..... + 14491/4830.

1) 14559/70
2) 15449/69
3) 214
4) 212

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(#M40016786) MBA question number systems, progressions Keep an EYE

Find the sum of the series:7/2 + 19/6 + 37/12 + ..... + 14491/4830.

1) 14559/70
2) 15449/69
3) 214
4) 212

Asked In MBA (11 years ago)

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Read Solution (1) :

Rajendra Rajput  (8 years ago)

7/2 + 19/6 + 37/12 + ..... + 14491/4830
The term is
[n (n+1)*3 +1]/n (n+1)
So 4830 =69*70
Clearly last term is 69th term
Now
Let see the sum pattern
7/2 = 3 + ( 1/1 - 1/2)
19/6 = 3 + (1/2 - 1/3)
So
3 + (1/1 - 1/2) + 3 + (1/2 - 1/3)
3+3 + (1/1 - 1/2 + 1/2 - 1/3)
6 + (1/1 - 1/3)
6+ (2/3)
20/3
So sum format is
3n + [ 1/1 - 1/(n+1) ]
3n + [ n/(n+1) ]
Sum of 69th term
3 (69) + [ 69/70 ]
207 + (69/70)
207 (70) +69 / 70
14559/70

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