Question

Write an explicit formula for an arithmetic sequence whose common difference is -4.5

Answer 1

For this case we have:

The general formula of the arithmetic sequence is given by:

$a_n = a_1 + (n-1) d$

Where

$a_n$: Last term

$a_1$: First term

n: Number of terms

d: Difference

Rewriting according to the given common difference, we have:

$a_n = a_1 + (n-1) (- 4.5)$

Answer:

$a_n = a_1 + (n-1) (- 4.5)$

Answer 2

Answer:

The explicit formula for an arithmetic sequence whose common difference is -4.5 is:

                      $a_n=a_1-4.5(n-1)$

Step-by-step explanation:

Explicit formula--

Explicit formula is the formula which is used to find the nth term of a sequence.

We know that the explicit formula for an arithmetic sequence is given by:

   $a_n=a_1+(n-1)d$

where d is the common difference of the sequence and $a_1$ is the first term of the sequence.

We have: d= -4.5

Hence, the explicit formula is given by:

     $a_n=a_1-4.5(n-1)$