What type of sequence is 1, 3, 5, 7,... and what is its common difference?

Step 1: Calculate the difference between consecutive terms. 3 − 1 = 2; 5 − 3 = 2; 7 − 5 = 2 Step 2: Determine if the sequence has a constant difference or a constant ratio. Since the difference between consecutive terms is constant (2), the sequence is an arithmetic sequence. Step 3: State the constant difference and the type of sequence. The constant difference is 2. The sequence is arithmetic.

What type of sequence is 1, 3, 5, 7,... and what is its common difference?

Step 1: Calculate the difference between consecutive terms. 3 − 1 = 2; 5 − 3 = 2; 7 − 5 = 2 Step 2: Determine if the sequence has a constant difference or a constant ratio. Since the difference between consecutive terms is constant (2), the sequence is an arithmetic sequence. Step 3: State the constant difference and the type of sequence. The constant difference is 2. The sequence is arithmetic.

Solved: What type of sequence is 1, 3, 5, 7,... and what is…

Calculate the difference between consecutive terms.
$3 - 1 = 2$ $5 - 3 = 2$ $7 - 5 = 2$
Determine if the sequence has a constant difference or a constant ratio.
Since the difference between consecutive terms is constant (2), the sequence is an arithmetic sequence.
State the constant difference and the type of sequence.
The constant difference is 2. The sequence is arithmetic.

What type of sequence is 1, 3, 5, 7,... and what is its common difference?

Step-by-step solution

Calculate the difference between consecutive terms.

Determine if the sequence has a constant difference or a constant ratio.

State the constant difference and the type of sequence.

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