Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the next term of the arithmetic sequence?

-6,-8,-10,-12", "

What is the next term of the arithmetic sequence?\newline6,8,10,12-6,-8,-10,-12

Full solution

Q. What is the next term of the arithmetic sequence?\newline6,8,10,12-6,-8,-10,-12
  1. Identify sequence type: Identify the type of sequence.\newlineThe sequence 6,8,10,12-6, -8, -10, -12 appears to have a constant difference between its terms, which suggests it is an arithmetic sequence.
  2. Determine common difference: Determine the common difference in the arithmetic sequence.\newlineTo find the common difference, subtract any term from the term that follows it. For example, 8(6)=2-8 - (-6) = -2.
  3. Verify common difference: Verify the common difference by checking it with another pair of consecutive terms.\newlineFor instance, 10(8)=2-10 - (-8) = -2, which confirms the common difference is indeed 2-2.
  4. Find next term in sequence: Find the next term in the sequence by adding the common difference to the last given term.\newlineThe last term given is 12-12, so the next term is 12+(2)=14-12 + (-2) = -14.

More problems from Arithmetic sequences