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RRB Assistant Loco Pilot and Technician Model Paper 6 with solutions
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© examsnet.com
Question : 9
Total: 75
The sum of the series 2 + 4 + 6 ... + 98 + 100 is:
2601
2550
2499
1545
Validate
Solution:
Here, a = 2
d = 4 – 2 = 2
t
n
= a + (n – 1)d
⇒ 100 = 2 + (n – 1) × 2
⇒ 100 = 2 + 2n – 2
∴ n =
100
2
= 50
∴
S
n
=
n
2
{2a + (n -1) x d}
S
50
=
50
2
{2 x 2 + (50 -1) x 2}
= 25(4 + 49 × 2)
= 25 × 102
= 2550.
© examsnet.com
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