Question

Question #5e8cc

Answer 1

See a solution process below:

Explanation:

The first term can be written as:

`12m = 3(color(red)(1) + 3)m`

The second term can be written as:

`12m = 3(color(red)(2) + 3)m`

The third term can be written as:

`12m = 3(color(red)(3) + 3)m`

Therefore the `n^(th)` term can be written as:

`12m = 3(color(red)(n) + 3)m`

Answer 2

9m+3mn

Explanation:

This is an arithmetic sequence of the type a, a+d, a+2d,...... The nth term of this sequence is a +(n-1)d. The first term is a= 12m and common difference d= 15m-12m =3m.
Hence nth term would be 12m+(n-1)3m, or 9m+3mn
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