Respuesta :
Answer:
i think the answer would be -8n-65
Step-by-step explanation:
its subtracting by 8 so it would be -65,-57.-49...........................
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The correct option is 8n-65. Thus, the correct option is D.
What is an arithmetic sequence?
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is 'd', then we have the arithmetic sequence as:
a, a+d, a+2d, ..., a+ (n+1)d
Its nth term is
[tex]T_n = a + (n-1)d[/tex]
(for all positive integer values of n)
And thus, the common difference is
[tex]T_{n+1} - T_n[/tex]
for all positive integer values of n
The difference of the given arithmetic sequence is,
d = -49 - (-57) = 8
Therefore, the difference between any two terms will be 8.
Also, the sequence is starting from -65, because in that case only -57, can be received.
Hence, the correct option is 8n-65. Thus, the correct option is D.
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