SOLUTION: the 5th and 10th terms of an AP are -12 and -27 respectively. find the AP and is 15th term

Question 977799: the 5th and 10th terms of an AP are -12 and -27 respectively. find the AP and is 15th term

Answer by stanbon(75887) (Show Source): 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.
-----------------
RELATED QUESTIONS
the 10th term of an AP is -27 and the 5th term is -12. what is the 18th term. find also... (answered by ikleyn)

the 10th term of an AP is -27 and the 5th term is -12. what is the 18th term find also... (answered by stanbon)

The fiveth and tenth terms of an AP are 12ft and 27ft respectively.Find the AP and is... (answered by ramkikk66)

The 10th and 15th terms of an AP are -5 and -15/2 respectively.what is the sum of the... (answered by greenestamps,ikleyn)

If the 6th term of an AP is -10 and 10th term is -26. Determine the 15th term of an... (answered by josgarithmetic,TeachMath)

The sum of the 1st and 2nd terms of an AP is 4 and the 10th term is 19 Find d sum of the (answered by greenestamps,ikleyn)

The 5th and 10th term of AP are 23 and 48 respectively.find its 18th... (answered by Fombitz)

The first and last terms of an AP are 67 and 171 respectively. If The first and last... (answered by Theo)

If the 5th and the 6th term of an AP are 2 and 12 respectivly, find d 16th... (answered by ikleyn)