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The nthn^{\text{th}} term of a sequence is given by 5n−35n-3. What is the 6th6^{\text{th}} term of this sequence?

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Full solution

Q. The nthn^{\text{th}} term of a sequence is given by 5n−35n-3. What is the 6th6^{\text{th}} term of this sequence?
  1. Substitute nn with 66: To find the 66th term of the sequence, we need to substitute nn with 66 in the nnth term formula.\newlineThe formula for the nnth term is given by 5n−35n - 3.\newlineSo, for the 66th term, we substitute n=6n = 6 into the formula to get 6600.
  2. Perform calculation: Now we perform the calculation: 5(6)−3=30−35(6) - 3 = 30 - 3.
  3. Get the result: After subtracting 33 from 3030, we get the result: 30−3=2730 - 3 = 27. This is the value of the 66th term in the sequence.

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