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in Number System by (46.2k points)
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The sum of the first 25 terms of the series

\(\frac13+\frac14-\frac12-\frac13+\frac12-\frac14+\frac13+\frac14-\frac12-\frac13+......\) is

(a) \(\frac12\)

(b) \(-\frac14\)

(c) \(\frac13\)

(d) \(\frac14\)

1 Answer

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Best answer

(c) \(\frac13\)

Sum of the first 6 terms = \(\frac13+\frac14-\frac12-\frac13+\frac12-\frac14 = 0\)

∴ Sum of first 24 terms = 0

∴ Required sum = 25th term = \(\frac13.\)

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