What is the 50th time of the linear sequence below 27, 25, 23, 21, 19
To find the 50th time of the linear sequence 27, 25, 23, 21, 19, we need to identify the pattern and then use that pattern to calculate the 50th term.
The sequence is an arithmetic sequence because there is a common difference between each successive term. In this case, the common difference is -2 because we subtract 2 from each term to get to the next one.
To find the nth term of an arithmetic sequence, we can use the formula:
an = a1 + (n - 1)d
where:
an is the nth term
a1 is the first term
n is the position of the term we want to find
d is the common difference
In this case, a1 = 27 (the first term), n = 50 (we want the 50th term), and d = -2 (the common difference).
Now, substitute the values into the formula:
a50 = 27 + (50 - 1)(-2)
Simplify the equation:
a50 = 27 + 49(-2)
= 27 - 98
= -71
Therefore, the 50th term in the sequence 27, 25, 23, 21, 19 is -71.
I am sure you meant: What is the 50th term ...
You have an AP, with a = 27, d = -2
term(50) = a + 49d = .....