the difference is 6 ... 50 - 44 = 44 - 38 = 6
8 , 14 , 20 , 26 , 32 , 38
8 , 14 , 20 , 26 , 32 , 38
The nth term of an arithmetic progression (A.P.) can be found using the formula:
an = a + (n - 1)d
where:
an = nth term of the A.P.
a = first term of the A.P.
n = position of the term in the A.P.
d = common difference between the consecutive terms of the A.P.
In this case, we have the following information:
a = 8 (first term)
n = 2 (position of the term 'abcd')
an = 38 (second term given in the A.P.)
Using the formula, we can calculate the value of d:
38 = 8 + (2 - 1)d
Expanding the equation:
38 = 8 + d
Subtracting 8 from both sides:
30 = d
Therefore, the value of d in the arithmetic progression is 30.
To find the value of ABC, we need to know the respective positions of the digits A, B, and C in the A.P. sequence. Please provide the positions of the digits in order to further assist you.