Question

$\huge{\underline{\mathtt{\red{q}\pink{u}\green{e}\blue{s}\purple{t}\orange{i}\blue{o}\purple{n}}}}$

Find the common difference of the A.P. \frac{1}{3 q}, \frac{1-6 q}{3 q}, \frac{1-12 q}{3 q}, \dots.​

Answer 1

$\huge{\underline{\mathtt{\red{q}\pink{u}\green{e}\blue{s}\purple{t}\orange{i}\blue{o}\purple{n}}}}$

??

$\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}$

not clear ....

Answer 2

Answer:

Given A.P is

3q

1

,

3q

1−6q

,

3q

1−12q

Then,

3q

1

,

3q

1

−

3q

6q

,

3q

1

−

3q

12q

will also be in AP.

Which results in,

3q

1

,

3q

1

−2,

3q

1

−4

It can be seen clearly that the series is decreasing by the quantity (2)

Hence, the common difference is −2

Step-by-step explanation:

hope it helps!