Question

If a2 and a4 are in ratio 1:2 a10 is 30 find common difference

Answer 1

Answer:

Common Difference = 3

Step-by-step explanation:

Let a2 and a4 be x and 2x respectively.

a2 = a + d

x = a + d (1)

a4 = a + 3d

2x = a + 3d (2)

subtracting (1) from (2),

x = 2d

putting in (1),

2d = a + d

a = d

now a10 = 30

a + 9d = 30

d + 9d = 30 (since, a = d)

10d = 30

d = 3