# math

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In an AP, the thirteenth term is 27, and the seventh term is three times the second term. Find the first term,?

• math -

a+12d = 27 , (#1)

a+6d = 3(a+d)
a+6d = 3a + 3d
3d = 2a
then 12d = 8a

in a+12d = 27
a + 8a = 27
9a = 27
a = 3

first term is 3

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