Arecursive rule for an arithmetic sequence is a1=4; an=an−1−3 . what is the explicit rule for this sequence? enter your answer in the box. an=

The explicit rule for the arithmetic sequence is given by:

      ......[1]

where,

is the first term

n is the number of terms and

d is the common difference for two consecutive terms.

As per the statement:

A recursive rule for an arithmetic sequence is:

The recursive formula for the arithmetic sequence is given by:

then;

On comparing we get;

d = -3

Substitute the given values in [1] we have;

⇒

Therefore, the explicit rule for this sequence is,

sin(R) = 12/13

tan(T) = 5/12