The sum of the first four term of linear sequence is 26 and that of the next four term is 74 .find the value of :

(a)the first term
(b)the common difference
(c)the arithmetic progression

(4/2)(2a + 3d) = 26

2a + 3d = 13

sum(8) - 26 = 74
4(2a + 7d) = 100
2a + 7d = 25
subtract the two equations:
4d = 12
d = 3
2a + 9 = 13
a = 2

Your sequence is 2,5,8,11,14,17,20,23