If 8,a,b,c,d,38,44,50.... provide an a.p find value of a,b,cand d
To find the common difference and the missing values in the arithmetic progression (A.P.), we can observe the differences between consecutive terms:
8, a, b, c, d, 38, 44, 50....
The difference between the first two terms is a - 8, between the second and third terms is b - a, and so on. Therefore, we have:
a - 8 = b - a = c - b = d - c = 38 - d = 44 - 38 = 50 - 44
From the given terms, we can deduce that the common difference is 38 - d = 44 - 38 = 6.
Thus, we can establish the following equalities:
a - 8 = 6
b - a = 6
c - b = 6
d - c = 6
Solving these equations, we find:
a = 14
b = 20
c = 26
d = 32
Therefore, the values of a, b, c, and d in the given arithmetic progression are 14, 20, 26, and 32 respectively.