Answer:
subtract 2 (- 2)
Step-by-step explanation:
the term to term rule is the change between each term in this series.
from 15 to 13, we subtract 2 (-2)
from 13 to 11, we subtract 2 (-2)
from 11 to 9, we subtract 2 (-2)
from 9 to 7, we subtract 2 (-2)
So, this is the term to term rule: subtract 2
Next term as per term rule of arithmetic progression is 5.
" Arithmetic progression is defined as the difference between two consecutive term is constant. Difference is known as common difference."
General form of Arithmetic progression
a, a + d, a + 2d , ........, a + nd
Common difference 'd' = [tex]a_{n} -a_{n-1}[/tex]
According to the question,
Given terms are,
15, 13, 11, 9, 7
[tex]a_{1} =15\\\\a_{2} = 13\\\\a_{3} = 11\\\\a_{4} = 9\\\\a_{5} = 7[/tex]
Common difference = [tex]a_{2} -a_{1}[/tex]
= 13 - 15
= -2
Common difference = [tex]a_{3} -a_{2}[/tex]
= 11 - 13
= -2
Given sequence is arithmetic progression with common difference -2
Next term after 7 as per term rule of arithmetic progression is
[tex]a_{6} = 7-2[/tex]
= 5
Hence, Next term as per term rule of arithmetic progression is 5.
Learn more about arithmetic progression here
https://brainly.com/question/13989292
#SPJ2
