4. The first two numbers in a sequence are 3, 9.
a. If this is an arithmetic sequence, what are the next 2 terms?
b. Write the a definition for the nth term of the sequence:

Respuesta :

Answer:

234567

Step-by-step explanation:

Answer:

AP equation:

  • [tex]t_n=t_1+(n-1)d[/tex]

Based on the first two terms, we have:

  • [tex]t_1=3,\\t_2=9\\d=9-3=6[/tex]

The equation is:

  • [tex]t_n=3+(n-1)*6=3+6n-6=6n-3[/tex]

Next two terms are:

  • [tex]t_3=6*3-3=15\\t_4=6*4-3=21[/tex]