Answer:
Yes, it is an Arithmetic Sequence
Step-by-step explanation:
[tex]31 - 37 = - 6 \\ \\ 25 - 31 = - 6 \\ \\ 19 - 25 = - 6 \\ [/tex]
Since the difference between any two consecutive terms is same (- 6). Hence, 37, 31, 25, 19 is an Arithmetic sequence.
Yes, 37, 31, 25, 19 is an Arithmetic sequence.
An arithmetic sequence is 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 of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
(for all positive integer values of n)
thus, the common difference is T_{n+1} - T_n
for all positive integer values of n
Given sequence; 37, 31, 25, 19
We can see that the difference between the terms are equal;
31 - 37 = - 6
25 - 31 = - 6
19 - 25 = - 6
Since the difference between any two consecutive terms is same.
Hence, 37, 31, 25, 19 is an Arithmetic sequence.
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