Write a recursive rule and an explicit rule for the arithmetic sequence 19,9,-1,-

the formula is an =a1+d(n-1)

where a1 is the first terms

d is the common difference

a1= 19

d 1= 9-19 = -10

check: -1-9 = -10  the sequence goes down by 10

n  is the term number

an = 19 - 10(n-1)

we can distribute

an = 19 -10n +10

an = 29-10n

Check our work:

a4 = 29 - 10*4

    = 29 - 40

  = -11

the 4th term is -11 which 19,9,-1,-11,...  shows, so  we are good

an = 19 - 10(n-1)  or an = 29-10n

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.

answer

step-by-step explanation: