Arithmetic Sequences Quiz

What are the two main types of formulas used to describe arithmetic sequences?

• Polynomial and exponential

• Geometric and arithmetic

• Linear and quadratic

• Recursive and explicit

How do you calculate the common difference in an arithmetic sequence?

• Add the first and last terms

• Divide the last term by the first term

• Subtract the previous term from the current term

• Multiply the first term by the number of terms

If the first term of a sequence is 9 and the common difference is 7, what is the third term?

• 16

• 37

• 23

• 30

What does the subscript in a sequence term, like a₃, represent?

• The common difference

• The value of the term

• The position of the term in the sequence

• The sum of all previous terms

What is the purpose of the explicit formula in arithmetic sequences?

• To find any specific term in the sequence

• To determine the common difference

• To calculate the average of the sequence

• To find the sum of all terms

Given the first term is 4 and the common difference is 3, what is the 20th term?

• 64

• 70

• 61

• 67

How do you find the first term using the explicit formula?

• Subtract the common difference from the second term

• Divide the common difference by the number of terms

• Set n to 1 in the formula

• Multiply the common difference by the number of terms

If the explicit formula is aₙ = 4 + 3(n-1), what is the second term?

• 4

• 7

• 10

• 13

What is the result of applying the explicit formula to find the 14th term if the first term is 3 and the common difference is 7?

• 112

• 105

• 98

• 91

What should you do if you want to find the 300th term using the explicit formula?

• Multiply the common difference by 300

• Add 300 to the first term

• Replace n with 300 in the formula

• Subtract 300 from the last term