Math Sequences and Series

Find the 10th term of the arithmetic sequence: 3, 7, 11, 15, ...

• 22

• 38

• 39

• 26

What is the common difference in the arithmetic sequence: 2, 5, 8, 11, ...?

• 4

• 6

• 3

• 10

Calculate the sum of the first 15 terms of the arithmetic series: 2 + 5 + 8 + 11 + ...

• The sum of the first 15 terms of the arithmetic series is 245.

• The sum of the first 15 terms of the arithmetic series is 300.

• The sum of the first 15 terms of the arithmetic series is 340.

• The sum of the first 15 terms of the arithmetic series is 345.

Determine the 7th term of the geometric sequence: 2, 6, 18, 54, ...

• 1358

• 1324

• 1408

• 1458

What is the common ratio in the geometric sequence: 3, 9, 27, 81, ...?

• 6

• 12

• 15

• 3

Identify the next number in the pattern sequence: 2, 4, 8, 16, ...

• 12

• 64

• 32

• 24

Here's a pattern of squares.

a) How many squares are in pattern 13?

b) Which pattern will have 51 squares?

c) State the formula of the n-th term

• a) 27 squares

  b) 25th

  c) 2n + 1

• a) 27 squares

  b) 24th

  c) 2n - 1

• a) 27 squares

  b) 24th

  c) 2n + 1

• a) 26 squares

  b) 25th

  c) 2n + 1

Here is a pattern made by white and grey tiles.

a) How many white and grey tiles on pattern 6?

b) What is the term formula for the grey tiles?

c) What is the term formula for the white tiles?

• a) 36 grey 28 white

  b) n²

  c) 4n + 4

• a) 36 grey 36 white

  b) n²

  c) 4n - 4

• a) 36 grey 28 white

  b) 2n

  c) 3n + 4

• a) 36 grey 36 white

  b) n²

  c) 3n + 4

a₁ = -4, a₈ = 38

a) Find the common difference

b) Find the n-th term of the arithmetic sequence

c) Find a₂₀

• a) d = 5

  b) a_n = 5n - 10

  c) 110

• a) d = 5

  b) a_n = -4 + 5n

  c) 100

• a) d = 6

  b) a_n = 6n - 10

  c) 110

• a) d = 6

  b) a_n = -4 + 6n

  c) 100

27, −9, 3, −1 …

For the geometric sequence, determine:

a) the common ratio,

b) the sixth term,

• a) r = - 3

  b) -1/3

• a) r = - 1/3

  b) 1/3

• a) r = 3

  b) 1/3

• a) r = - 1/3

  b) -1/9