posted by Monila sharma .
The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th terms is 44. Find the first three terms of AP
First tell us what an AP is.
use your two formulas for the general term of an AP and the sum of terms of an AP
a+3d + a+7d = 24 ----> 2a + 10d = 24
6/2[2a + 5d] + 10/2[2a+9d] = 44
now solve these two equations in two unknowns
If you are talking about arithmetic progressions, this one has the properties you require:
-13 -8 -3 2 7 12 17 22 27 32 ...