Revision Gr.11

Open Ended

Why is understanding sequences and series important in mathematics and real-life applications?

Multiple Choice

In the expression \( \sum_{i=1}^{n} a_i \), what does the letter i represent?

• The common difference

• The index of summation

• The total sum

• The last term

Multiple Select

Select all formulas that represent the nth term of a sequence from the following:

• a_n = a_1 + (n – 1)d

• a_n = a_1 · r^(n–1)

• a_n = n^2

• a_n = a_1 + d

Multiple Choice

Which formula is used to find the sum of a finite arithmetic series?

• S_n = n/2 (a_1 + a_n)

• a_n = a_1 + (n – 1)d

• a_n = a_1 · r^(n–1)

• S_n = a_1/(1–r)

Open Ended

Explain the difference between arithmetic and geometric sequences, and provide an example of each.

Multiple Choice

What is the probability of picking a blue marble from a bag containing 5 red marbles and 5 blue marbles?

• 0.2

• 0.5

• 1.0

• 0.25

Multiple Choice

What is the next term in the sequence: 4, 9, 14, 19, ...?

• 23

• 24

• 25

• 29

Open Ended

Reflecting on the topics covered in this revision pack (sequences, summation notation, arithmetic and geometric sequences, probability, and ellipses), which topic do you feel most confident about, and which would you like to review further?