find the respective values of a and b such that t
he numbers a,9,b,25 form an ap
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find the respective values of a and b such that t
he numbers a,9,b,25 form an ap
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a , 9 , b , 25 are in an AP
a + d = 9 (eq 1)
a + 3d = 25 (eq 2)
solve the equations 1 and 2
a + 3d = 25
- a + d = 9
we get,
2d = 16
d = 8
from equation 1,
a + d = 9
a + 8 = 9
a= 9 - 8
a = 1
b = a + 2d
= 1 + 2(8)
= 1 + 16
= 17
therefore, a = 1 , b = 17