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c(n)=-7+6(n-1) Find the 4^("th ") term in the sequence.

c(n)=−7+6(n−1) c(n)=-7+6(n-1) \newlineFind the 4th  4^{\text {th }} term in the sequence.

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Full solution

Q. c(n)=−7+6(n−1) c(n)=-7+6(n-1) \newlineFind the 4th  4^{\text {th }} term in the sequence.
  1. Determine the formula: Determine the formula for the nnth term of the sequence.\newlineThe given formula is c(n)=−7+6(n−1)c(n) = -7 + 6(n - 1).
  2. Substitute nn with 44: Substitute nn with 44 to find the 44th term.c(4)=−7+6(4−1)c(4) = -7 + 6(4 - 1)
  3. Simplify the expression: Simplify the expression inside the parentheses.\newlinec(44) = −7+6(3)-7 + 6(3)
  4. Multiply 66 by 33: Multiply 66 by 33.\newlinec(44) = −7-7 + 1818
  5. Add −7-7 to 1818: Add −7-7 to 1818 to find the 44th term.c(4)=11c(4) = 11

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