Grade 10 Mathematics 1st Periodical Exam

What is a geometric sequence?

• A sequence where each term is found by adding a constant to the previous term

• A sequence where each term is found by multiplying the previous term by a constant

In the arithmetic sequence 2, 5, 8, 11, ..., what is the common difference?

• 2

• 3

• 4

• 5

In the geometric sequence 2, 6, 18, 54, ..., what is the common ratio?

• 2

• 3

• 4

• 5

In the arithmetic sequence 3, 7, 11, 15, ..., what is the 10th term?

• 37

• 39

• 41

• 43

In the arithmetic sequence 5, 8, 11, 14, ..., find the value of n if the nth term is 53.

• 15

• 16

• 17

• 18

In the geometric sequence 2, 6, 18, 54, ..., find the value of n if the nth term is 1458.

• 7

• 8

• 9

• 10

In the arithmetic sequence 4, 7, 10, 13, ..., find the sum of the first 10 terms.

• 150
• 200
• 125
• 175

In the geometric sequence 1, 2, 4, 8, ..., find the sum of the first 8 terms.

• 253

• 254

• 255

• 256

What is the formula for the nth term of an arithmetic sequence?

• an = a1 + (n-1)d

• an = a1 * r^(n-1)

• Sn = n/2(a1 + an)

• Sn = a1(1 - r^n) / (1 - r)

What is the formula for the nth term of a geometric sequence?

• an = a1 + (n-1)d

• an = a1 * r^(n-1)

• Sn = n/2(a1 + an)

• Sn = a1(1 - r^n) / (1 - r)