The 8^th common term of the series
$S_{1} = 3 + 7 + 11 + 15 + 19 + . . . . . . . . .$
$S_{2} = 1 + 6 + 11 + 16 + 21 + . . . . . . . . .$
is __________.

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answer is 151.

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Detailed Solution

c.d of first series = 4, c. d of second series = 5
$∴$ c.d of common series = 4 x 5 = 20
First term of common series = 11
$T_{8}$ of common series = 11 + 7(20) = 151

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