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d(n)=8-6(n-1) Find the 6^("th ") term in the sequence.

d(n)=8−6(n−1) d(n)=8-6(n-1) \newlineFind the 6th  6^{\text {th }} term in the sequence.

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Full solution

Q. d(n)=8−6(n−1) d(n)=8-6(n-1) \newlineFind the 6th  6^{\text {th }} term in the sequence.
  1. Understand the formula: Understand the formula for the sequence.\newlineThe formula d(n)=8−6(n−1)d(n)=8-6(n-1) defines an arithmetic sequence where the first term is when n=1n=1.
  2. Plug in n=6n=6: Plug in the value of n=6n=6 into the formula to find the 66th term.d(6)=8−6(6−1)d(6)=8-6(6-1)
  3. Simplify expression: Simplify the expression inside the parentheses. d(6)=8−6(5)d(6)=8-6(5)
  4. Multiply and simplify: Multiply 66 by 55. \newlined(6)=8−30d(6)=8-30
  5. Subtract to find 66th term: Subtract 3030 from 88. \newlined(6)=−22d(6)=-22

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