Yeah!! It's the A.P. because it has common difference
common difference = 13-18 = -5
so, -5 is the common difference
Answer:
Yes the sequence 18,13,8,3.... is an arithmetic sequence and the common difference in sequence is -5.
Step-by-step explanation:
Arithmetic sequence is sequence of a pattern involves adding or subtracting a number to each term to get the next term.
Example: 2,4,6,8,10,12 we have added 2 each term to get the next term.
Consider the given sequence 18,13,8,3....
let [tex]a_1=18,a_2=13,a_3=8,a_4=3[/tex] then
We find the difference of each term,
[tex]a_2-a_1=13-18=-5[/tex]
[tex]a_3-a_2=8-13=-5[/tex]
[tex]a_4-a_3=3-8=-5[/tex]
Yes the given sequence is an arithmetic sequence as difference between each term is same -5.
Thus, the common difference in sequence 18,13,8,3.... is -5.
