Therefore , the solution of the given problem of sequence comes out to be the sequence's 57th term is -267.
Describe a sequence.
A sequence is a grouping of numbers, variable or "terms". Term examples include 2, 5, but instead 8. Some story lines can be extended indefinitely by deciding to take advantage of a certain pattern that they exhibit. Use the pattern 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to glance for words in a sequence. In mathematics, a sequence is a group of objects that have been arranged in some way (or events).
Here,
An arithmetic series with a significant bit of -5 makes up the provided sequence.
The formula for the leading zeros of an arithmetic sequence can be used to determine the 57th term:
=> an = a 1 + (n-1)d
If n is the term number, a n is the nth term, a 1 is the first term, d is the common difference.
When we enter the information we have:
=> a_57 = 13 + (57-1)(-5)
=> a_57 = 13 + (56)(-5)
=> a_57 = 13 - 280
=> a_57 = -267
As a result, the sequence's 57th term is -267.