Question

the common ratio of 0.04+0.02+0.01+.....is​

Answer 1

The common ratio of the given series(r) is equal to $\dfrac{1}{2}$.

Step-by-step explanation:

The given series:

0.04 + 0.02 + 0.01 + .......

Here, first term = 0.04, second term = 0.02 and third term = 0.01

To find, the common ratio (r) = ?

We know that,

The common ratio (r) = $\dfrac{Second term}{First term} =\dfrac{Third term}{Second term}$

∴ $\dfrac{Second term}{First term}$ = $\dfrac{0.02}{0.04} =\dfrac{2}{4}=\dfrac{1}{2}$

Also,

$\dfrac{Third term}{Second term}$ = $\dfrac{0.01}{0.02} =\dfrac{1}{2}$

∴ The common ratio of the given series(r) = $\dfrac{1}{2}$

Thus, the common ratio of the given series(r) is equal to $\dfrac{1}{2}$.

Answer 2

Answer:

Step-by-step explanation: