The 4th term of an arithmetic progression AP is 37 and the 6th term is 12 more than the 4th term find. (i)the first term of AP. (ii) the seventh term of AP.
Use your definitions:
The 4th term of an arithmetic progression AP is 37
---> a + 3d = 37 **
the 6th term is 12 more than the 4th term
---> a+5d - (a+3d) = 12
but a+3d = 37
a+5d - 37 = 12
a+5d = 49 ***
solve using ** and ***