the sum of irst and the fourthterm of a linear squence is10 and the sum of its thired and seventh term is 20.find the common difference and the first term

Answer 1

The nth term of a linear sequence is a + (n-1)d

T1 + T4 = a + a+3d = 10
T3 + T7 = a+2d + a+6d = 20

2a + 3d = 10
2a + 8d = 20

5d = 10
d=2
a=2