Consider the sequence defined recursively by do = 0, an = an-1 + 3n – 1. a) write out the first 5 terms of this sequence,

The first 5 terms of the sequence is 2,7,15,26,40.

Step-by-step explanation:

Given : Consider the sequence defined recursively by

To find : Write out the first 5 terms of this sequence ?

Solution :

and

The first five terms in the sequence is at n=1,2,3,4,5

For n=1,

For n=2,

For n=3,

For n=4,

For n=5,

The first 5 terms of the sequence is 2,7,15,26,40.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x