You can put this solution on YOUR website! the 5th and 10th terms of an AP are -12 and -27 respectively.
find the AP and its 15th term.
---------------
a(5) = a(1)+4d = -12
a(10) = a(1)+9d = -27
--------------------------
Subrract and solve for "d"::
5d = -15
d = -3
-------
Solve for a(1)::
a(1) + 4d = a(1)-12 = -12
a(1) = 0
--------------
Cheers,
Stan H.
-----------------