Exploring Arithmetic and Geometric Sequences

What is the first term of the arithmetic sequence defined by a_n = a_(n-1) + 12, where A1 = -10?

• -10

• 26

• 14

• 2

What is the second term of the arithmetic sequence defined by a_n = a_(n-1) - 1/3, where A1 = 1?

• 2/3

• 1/3

• -1/3

• 0

What is the common difference in the arithmetic sequence where A1 = 82, and the sequence goes 82, 76, 70, 64?

• 6

• -6

• 12

• -12

For the arithmetic sequence starting with A1 = 82 and a common difference of -6, what is the correct formula for the nth term?

• a_n = 88 - 6n

• a_n = -6n + 88

• a_n = 82 + (n-1) * -6

• a_n = 82 - 6n

What is the equation to find the nth term in the sequence starting with A1 = -5 and a common difference of 17?

• a_n = -22 + 17n

• a_n = -5 + 17n

• a_n = 17n - 22

• a_n = -5 + (n-1) * 17

What is the first term of the geometric sequence defined by a_n = 2 * a_(n-1), where A1 = 8?

• 64

• 16

• 8

• 32

What is the common ratio in the geometric sequence where A1 = 100 and the sequence goes 100, 60, 36, 21.6?

• 2

• 0.4

• 1.6

• 0.6

In the geometric sequence defined by a_n = 0.6 * a_(n-1), what is the fourth term if A1 = 100?

• 100

• 60

• 36

• 21.6

What is the equation to find the nth term in the geometric sequence starting with A1 = 0.9 and a common ratio of 2?

• a_n = 0.45 * 2^n

• a_n = 0.9 * 2^(n-1)

• a_n = 1.8 * 2^n

• a_n = 0.9 * 2^n

For the geometric sequence with A1 = -3 and a common ratio of 3, what is the correct formula for the nth term?

• a_n = -9 * 3^n

• a_n = -3 * 3^(n-1)

• a_n = -1 * 3^n

• a_n = -3 * 3^n