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What is the next term of the arithmetic sequence?

-3,-7,-11,-15", "

What is the next term of the arithmetic sequence?\newline3,7,11,15-3,-7,-11,-15

Full solution

Q. What is the next term of the arithmetic sequence?\newline3,7,11,15-3,-7,-11,-15
  1. Identify sequence type: Identify the type of sequence.\newlineThe sequence 3-3, 7-7, 11-11, 15-15 appears to have a constant difference between consecutive 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 the first term from the second term: 7(3)=7+3=4-7 - (-3) = -7 + 3 = -4.
  3. Verify common difference: Verify the common difference with another pair of consecutive terms.\newlineSubtract the third term from the fourth term: 15(11)=15+11=4-15 - (-11) = -15 + 11 = -4.\newlineThe common difference is confirmed to be 4-4.
  4. Calculate next term: Calculate the next term in the sequence.\newlineAdd the common difference to the last term: 15+(4)=154=19-15 + (-4) = -15 - 4 = -19.

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