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What is the next term of the arithmetic sequence?

-6,-8,-10,-12,-14", "

What is the next term of the arithmetic sequence? \newline6,8,10,12,14-6,-8,-10,-12,-14

Full solution

Q. What is the next term of the arithmetic sequence? \newline6,8,10,12,14-6,-8,-10,-12,-14
  1. Sequence Type: Is the given sequence geometric or arithmetic?\newlineHere, the difference between consecutive terms is the same.\newlineThe given sequence is arithmetic.
  2. Common Difference: Find the common difference in the arithmetic sequence.\newlineTwo consecutive terms are 6-6 and 8-8.\newline8(6)=2-8 - (-6) = -2\newlineCommon Difference: 2-2
  3. Next Term: Find the next term in the sequence.\newlineAdd the common difference to the last term, 14-14.\newline14+(2)=16-14 + (-2) = -16\newlineNext Term: 16-16

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