Every next number is incremented by 8 from the previous number hence the sequence is arithmetic and the common difference is 8.
Hope this helps.
Answer:
The given sequence is arithmetic and common difference is 8.
Step-by-step explanation:
Given that :
- 19, - 11, - 3, 5......
Here, a = - 19 ; a is the first term of the series.
Now, For common difference-
d = [tex]t_{2} - t_{1}[/tex] = [tex]t_{3} - t_{2}[/tex] = [tex]t_{4} - t_{3}[/tex]
Let [tex]t_{1} = - 19, t_{2} = - 11[/tex]
d = - 11 - (-19)
= -11 + 19
= 8
Let [tex]t_{3} = - 3, t_{2} = - 11[/tex]
d = - 3 -(-11)
= - 3 + 11
= 8
Let [tex]t_{4} = 5, t_{3} = - 3[/tex]
d = 5 - (-3)
= 8
In each condition common difference d is same therefore the given sequence is arithmetic and common difference d = 8.
