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a(n)=-5+6(n-1) Find the 12^("th ") term in the sequence.

a(n)=−5+6(n−1) a(n)=-5+6(n-1) \newlineFind the 12th  12^{\text {th }} term in the sequence.

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Full solution

Q. a(n)=−5+6(n−1) a(n)=-5+6(n-1) \newlineFind the 12th  12^{\text {th }} term in the sequence.
  1. Determine formula for nth term: Determine the formula for the nth term of the sequence.\newlineThe given formula is a(n)=−5+6(n−1)a(n) = -5 + 6(n - 1).
  2. Substitute nn for 1212: Substitute nn with 1212 to find the 1212th term.a(12)=−5+6(12−1)=−5+6(11)a(12) = -5 + 6(12 - 1) = -5 + 6(11)
  3. Perform calculation for 6(11)6(11): Perform the calculation inside the parentheses first.\newline6(11)=666(11) = 66
  4. Add result to −5-5: Now, add the result to −5-5.\newlinea(12)=−5+66a(12) = -5 + 66
  5. Complete addition for 1212th term: Complete the addition to find the 1212th term. a(12)=61a(12) = 61

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