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c(n)=−6+5(n−1)c(n) = -6 + 5(n - 1) \newlineFind the 8th8^{\text{th}} term in the sequence.

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Full solution

Q. c(n)=−6+5(n−1)c(n) = -6 + 5(n - 1) \newlineFind the 8th8^{\text{th}} term in the sequence.
  1. Understand the formula: Understand the formula for the sequence.\newlineThe given sequence is defined by the formula c(n)=−6+5(n−1)c(n) = -6 + 5(n - 1). This means that to find any term in the sequence, we substitute the term's position (nn) into the formula and simplify.
  2. Find the 88th term: Find the 88th term of the sequence, c(8)c(8). To find c(8)c(8), we substitute n=8n = 8 into the formula. c(8)=−6+5(8−1)c(8) = -6 + 5(8 - 1)
  3. Simplify the expression: Simplify the expression to find c(8)c(8).c(8)=−6+5(7)c(8) = -6 + 5(7)c(8)=−6+35c(8) = -6 + 35c(8)=29c(8) = 29
  4. Verify calculation: Verify the calculation for any mathematical errors.\newlineWe substituted n=8n = 8 into the formula correctly and simplified the expression without making any arithmetic mistakes.

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