Identify the sequence as arithmetic or geometric, and write a recursive formula for the sequence. be
sure to identify your starting value
14, 21, 28, 35, …

The sequence is an arithmetic sequence

               The recursive formula is given as = + 7 , where = 14

Step-by-step explanation:

For a sequence to be geometric then there must exist a common ratio. Let r represent the common ratio. The formula for calculating common ratio implies:

r = =    … , that is r is calculated by dividing the second term by the first term or the third term divided by the second term and so on.

To check if the sequence is geometric, let us find the common ratio.

= 14

= 21

= 28

= 35

So, = =

 = =  

    =  =  

Considering the result, it is clear that it is not a geometric sequence since the ratios are not the same

Arithmetic Sequence , for a sequence to be arithmetic then there must be an existence of a common difference.That is

– = – = –

Let us check if the sequence given follow this rule

– = 21 -14 = 7

– = 28 – 21 = 7

– = 35 – 28 = 7

Therefore the sequence is an arithmetic sequence.

To find the recursive formula for the sequence  

= 14

= +d

= +7

5104.38 inches

step-by-step explanation: