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Precal
Arithmetic Sequences and Series
ind the three terms in the sequence after the last one given


29,19,9,-1,dots
-23 ,

Find the three terms in the sequence after the last one given\newline11) 29,19,9,1, 29,19,9,-1, \ldots

Full solution

Q. Find the three terms in the sequence after the last one given\newline11) 29,19,9,1, 29,19,9,-1, \ldots
  1. Identify common difference: Identify the common difference in the sequence.\newlineThe sequence given is 29,19,9,1,29, 19, 9, -1, \ldots\newlineTo find the common difference, subtract the second term from the first term:\newline1929=1019 - 29 = -10\newlineCheck with another pair to confirm:\newline919=109 - 19 = -10\newlineThe common difference is 10-10.
  2. Calculate next three terms: Calculate the next three terms in the sequence using the common difference.\newlineThe last term given is 1-1. To find the next term:\newline110=11-1 - 10 = -11 (next term)\newlineThen, 1110=21-11 - 10 = -21 (second term after 1-1)\newlineFinally, 2110=31-21 - 10 = -31 (third term after 1-1)

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