Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the next term of the arithmetic sequence?

2,-1,-4,-7,-10", "

What is the next term of the arithmetic sequence?\newline2,1,4,7,102,-1,-4,-7,-10

Full solution

Q. What is the next term of the arithmetic sequence?\newline2,1,4,7,102,-1,-4,-7,-10
  1. Identify sequence type: Identify the type of sequence.\newlineThe sequence 22, 1-1, 4-4, 7-7, 10-10 has a constant difference between its terms, which means it is an arithmetic sequence.
  2. Determine common difference: Determine the common difference of the sequence.\newlineTo find the common difference, subtract any term from the term that follows it. For example, 12=3-1 - 2 = -3.
  3. Verify common difference: Verify the common difference with another pair of consecutive terms.\newlineCheck the common difference using another pair: 4(1)=3-4 - (-1) = -3. The common difference is consistent.
  4. Calculate next term: Calculate the next term in the sequence.\newlineTo find the next term, add the common difference to the last term given in the sequence: 10+(3)=13-10 + (-3) = -13.

More problems from Arithmetic sequences