Classify the number −25.
2 answers:
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Answer:
Arithmetic sequence states that a sequence of numbers such that the difference between the consecutive terms is constant.
it is given by: where a is the first term , n is the number of term and d is the common difference.
Given the series:
here, Common difference(d) = 5
First term(a) = 49
by definition we have;
For nth term
= 5n + 44
To write the series using summation notation for 14 terms
Summation symbol
The series for 14th terms is given by;
Let 
be any integer. Then
In other words:
(1) If is a multiple of 4, then 
.
(2) If dividing by 4 leaves a remainder of 1, then 
, since 
for some integer 
, and from (1) we know that 
(because, obviously, 
is a multiple of 4).
(3) If instead you get a remainder of 2, then
. This follows from (1) as well. 
.
(4) Finally, if you get a remainder of 3, then
.
In other words:
(1) If
(2) If dividing
(3) If instead you get a remainder of 2, then
(4) Finally, if you get a remainder of 3, then