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Numbers-Data Intensity 3 :: Discussion

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7.The sum of how many terms of the series 6 + 12 + 18 + 24 + ... is 1800 ?
A.16
B.24
C.20
D.18
Answer:  Option  B
Explanation:

This is an A.P. in which a = 6, d = 6 and Sn = 1800

Then, n [2a + (n - 1)d] = 1800
2
  n [2 x 6 + (n - 1) x 6] = 1800
2

 3n (n + 1) = 1800

 n(n + 1) = 600

 n2 + n - 600 = 0

 n2 + 25n - 24n - 600 = 0

 n(n + 25) - 24(n + 25) = 0

 (n + 25)(n - 24) = 0

 n = 24

Number of terms = 24.
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Published by:Michael Daani

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