Question

If the first three. Term of ap is a, b, 2b then find the ratio of b and c

Answer 1

The ratio of b and c is 2:3.

Step-by-step explanation:

If x, y and z are first three terms of an A.P, then

x+z=2yx+z=2y

It means the sum of first and third term is twice of second term.

It is given that first three terms of an A.P are b, c and 2b.

(b)+(2b)=2(c)(b)+(2b)=2(c)

3b=2c3b=2c

Divide both sides by c.

\frac{3b}{c}=\frac{2c}{c}

c

3b

=

c

2c

Now divide both sides by 3.

\frac{b}{c}=\frac{2}{3}

c

b

=

3

2

Therefore, the ratio of b and c is 2:3.