Find a function that describes the arithmetic sequence.

11.5, 12.5, 13.5, 14.5,...
Use y to identify each term in the sequence and n to identify each term's position.

1 answer

An arithmetic sequence can be described using the formula:

yn=a+(n1)d

where:

  • yn is the n-th term in the sequence,
  • a is the first term,
  • d is the common difference,
  • n is the position of the term in the sequence.

For the given sequence 11.5,12.5,13.5,14.5,:

  1. The first term a=11.5.
  2. The common difference d=12.511.5=1.

Now we can substitute these values into the formula:

yn=11.5+(n1)1

Simplifying this, we get:

yn=11.5+n1 yn=n+10.5

Therefore, the function that describes the arithmetic sequence is:

yn=n+10.5

Similar Questions
  1. Find a function that describes the arithmetic sequence.13, 14, 15, 16,... Use y to identify each term in the sequence and n to
    1. answers icon 1 answer
    1. answers icon 1 answer
  2. Please help!1. Evaluate the function for x = 2 and x = 7, when f(x) = -4x + 61 2. Tell whether the sequence is arithmetic. If it
    1. answers icon 3 answers
  3. 1. Find the next three terms in the sequence.3, 12, 21, 20, . . . 2. Identify the sequence as arithmetic, geometric, or neither.
    1. answers icon 9 answers
more similar questions