Find the First Term Using the Sequence Formula 6n-1

A sequence has the rule 6n−1 6n-1 .

What is the first term in the sequence?

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00:00 Find the first term
00:03 Insert the position of the appropriate term in the formula and solve
00:16 Always solve multiplication and division before addition and subtraction
00:25 And this is the solution to the question

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1

Understand the problem

A sequence has the rule 6n−1 6n-1 .

What is the first term in the sequence?

2

Step-by-step solution

To determine the first term in the sequence, we must evaluate the expression 6n−1 6n - 1 at n=1 n = 1 since n n typically starts at 1 for sequences:

  • Step 1: Substitute n=1 n = 1 into 6n−1 6n - 1 .
  • Step 2: Compute 6×1−1 6 \times 1 - 1 .
  • Step 3: Simplify the expression: 6×1=6 6 \times 1 = 6 .
  • Step 4: Subtract 1 from 6, giving us 5.

Therefore, the first term in the sequence is 5 5 .

Upon reviewing the answer choices, the correct choice is:
Choice 1: 5

3

Final Answer

5

Practice Quiz

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Is there a term-to-term rule for the sequence below?

18 , 22 , 26 , 30

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