ARITHMETIC SEQUENCE

What is a sequence in mathematics?

• A list of random numbers.

• A set of numbers that follows a specific order or pattern.

• Numbers arranged in decreasing order.

• Numbers that are always even.

Which type of sequence has a countable number of terms?

• Infinite Sequence

• Geometric Sequence

• Finite Sequence

• Harmonic Sequence

What is the next number in the sequence 5, 8, 11, 14, ...?

• 15

• 16

• 17

• 18

What defines an arithmetic sequence?

• Each term is obtained by multiplying the previous term by a fixed number.

• Each term is obtained by adding a fixed number to the preceding term.

• Each term is obtained by dividing the previous term by a fixed number.

• Each term is obtained by subtracting a fixed number from the preceding term.

In the sequence 2, 4, 6, 8, 10, 12, how is the 6th term (12) derived using the recursive formula?

• Add 2 to the 5th term (10 + 2)

• Multiply the 5th term by 2 (10 * 2)

• Subtract 2 from the 5th term (10 - 2)

• Add 6 to the first term (2 + 6)

What type of formula defines each term of a sequence based on the previous term?

• General Formula

• Explicit Formula

• Recursive Formula

• Common Difference Formula

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Which formula allows you to find any term in a sequence based on its position without needing to refer to previous terms?

• Recursive Formula

• Explicit Formula

• Positional Formula

• Sequential Formula

What is the 50th term of the sequence 5, 8, 11, 14, 17, ...?

• 150

• 152

• 155

• 158

What is the nth term formula for the arithmetic sequence 2, 4, 6, 8, 10, ...?

• an = n + 2

• an = 2n

• an = 2n + 2

• an = n - 2