Arithmetic & Geometric Sequences Quiz

What is the formula to find the nth term of an arithmetic sequence?

• a_n = a_1 + (n-1)d

• a_n = a_1 / (n-1)d

• a_n = a_1 - (n-1)d

• a_n = a_1 * (n-1)d

What is the formula to find the nth term of a geometric sequence?

• a * (r-n)

• a * r^(n-1)

• a * (r^n)

• a + r^(n-1)

In an arithmetic sequence, if a1 = 3 and d = 5, what is the value of a5?

• 10

• 15

• 23

• 20

In a geometric sequence, if a1 = 2 and r = 3, what is the value of a4?

• 24

• 12

• 6

• 54

What is the formula to find the sum of the first n terms of an arithmetic sequence?

• S = (n/2)(2a + (n-1)d)

• S = (n/2)(2a + d)

• S = n(2a + (n-1)d)

• S = (n/2)(a + (n-1)d)

What is the formula to find the sum of the first n terms of a geometric sequence?

• S_n = a(1 - r^n) / (1 - r)

• S_n = a(1 + r^n) / (1 - r)

• S_n = a(1 - r^n) / (1 + r)

• S_n = a(1 - r) / (1 - r^n)

In an arithmetic sequence, if a1 = 2 and d = 4, what is the sum of the first 10 terms?

• 40

• 82

• 190

• 150

In a geometric sequence, if a1 = 3 and r = 2, what is the sum of the first 5 terms?

• 50

• 30

• 15

• 93

What is the 10th term of the arithmetic sequence 2, 5, 8, 11, ...?

• 29

• 14

• 20

• 32

What is the 7th term of the geometric sequence 3, 9, 27, 81, ...?

• 243

• 729

• 2187

• 6561