Identifying Arithmetic vs. Geometric Sequences

What type of growth does an arithmetic sequence exhibit?

• Logarithmic growth

• Linear growth

• Exponential growth

• Polynomial growth

How is a common difference found in an arithmetic sequence?

• By adding consecutive terms

• By dividing consecutive terms

• By subtracting consecutive terms

• By multiplying consecutive terms

What is the common difference in the sequence 4, 7, 10, 13?

• 2

• 3

• 4

• 5

What indicates a sequence is geometric?

• Constant ratio between consecutive terms

• Constant division between terms

• Constant addition between terms

• Constant subtraction between terms

Which sequence is identified by a constant ratio?

• Polynomial

• Geometric

• Arithmetic

• Linear

In a geometric sequence, if the first term is 2 and the second term is 6, what is the common ratio?

• 2

• 3

• 6

• 4

What characterizes a sequence as neither arithmetic nor geometric?

• Having a common difference

• Having a common ratio

• Lacking a common difference and common ratio

• Being linear

Which of the following sequences is an example of polynomial growth?

• 2, 4, 8, 16

• 3, 6, 12, 24

• 1, 4, 9, 16

• 5, 10, 15, 20

How can you find the next term in a sequence that is neither arithmetic nor geometric?

• By finding the common difference

• By finding the common ratio

• By following the established pattern

• By calculating the average of all terms

If a sequence starts with 2 and the next term is 6, followed by 12 and 20, what is the pattern for finding the next term?

• Add 4, then 6, then 8, and so on

• Multiply each term by 2

• Subtract each term by 2

• Divide each term by 2