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The term-to-term rule for a sequence is to subtract 55 each time.\newlineThe 14th14^{\text{th}} term is 2323.\newlineWhat is the 16th16^{\text{th}} term?

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Full solution

Q. The term-to-term rule for a sequence is to subtract 55 each time.\newlineThe 14th14^{\text{th}} term is 2323.\newlineWhat is the 16th16^{\text{th}} term?
  1. Apply term-to-term rule twice: To find the 16th16^{\text{th}} term, we need to apply the term-to-term rule twice to the 14th14^{\text{th}} term, since the 16th16^{\text{th}} term is two terms after the 14th14^{\text{th}} term.
  2. Subtract 55 for 1515th term: First, we subtract 55 from the 1414th^{\text{th}} term to find the 1515th^{\text{th}} term.\newlineCalculation: 23−5=1823 - 5 = 18
  3. Subtract 55 for 1616th term: Next, we subtract 55 from the 15th15^{\text{th}} term to find the 16th16^{\text{th}} term.\newlineCalculation: 18−5=1318 - 5 = 13

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