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,

income. 10x+1300

expenses 3x+(1800+1500)

expenses 3x+3300

to break even:

income = expense,

10x + 1300 = 3x + 3300,

solve for x.

step-by-step explanation:

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