Respuesta :
No, this is not an arithmetic sequence.
(-22)-(-16)= -6
(-29)-(-22)= -7
(-37)-(-29)= -8
(-22)-(-16)= -6
(-29)-(-22)= -7
(-37)-(-29)= -8
Answer: No, the given sequence is not arithmetic.
Step-by-step explanation: We are given to check whether the following sequence is ARITHMETIC or not :
–16, –22, –29, –37, . . .
If so, we are to find the common difference.
ARITHMETIC SEQUENCE : A sequence is said to be arithmetic if the difference between any two consecutive terms is same.
For the given sequence, we have
[tex]\textup{2nd term}-\textup{1st term}=-22-(-16)=-22+16=-6,\\\\\textup{3rd term}-\textup{2nd term}=-29-(-22)=-29+22=-7,\\\\\textup{4th term}-\textup{3rd term}=-37-(-29)=-37+29=-8,etc.[/tex]
Therefore, the difference between any two consecutive terms are not same.
Thus, the given sequence is not ARITHMETIC.
