Finding AP When Two Nth Terms Are Given
Finding AP When Two Nth Terms Are Given
Finding an AP When Two Terms of the AP are Given: There are situations when two terms of an AP are given and we are supposed to find the AP. For these type of situations we will assume the first term as a and the common difference as d. We will form two equations from the value given. We will then solve for a and d.
Example: The seventh term of an AP is 20 and the thirteenth term is 32, Find the AP.
Solution: Let the first term be (a) and the common difference be (d)
a+ 6d = 20 ..............[1]
Similarly
a+ 12d= 32 -------------[2]
Subtracting 1 from 2, we get
a+12d-(a+6d)= 32-20
a+12d-a-6d = 12
6d= 12
d= 2
Putting the value of d in equation 1, we get
a+6(2)= 20
2+12=20
a=8
So the AP is 8,10,12,.....
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