Welcome to your Grade 12 Mathematics chapter 1
After carefully reading the following 30 questions, choose the correct answer.
1.
Which of the following is the correct definition of a sequence?
2.
What is the nth term (an) of an arithmetic sequence with first term a1 and common difference d?
3.
In a geometric sequence with first term a1 and common ratio r, what is the formula for the nth term?
4.
Which condition must be satisfied for an infinite geometric series ∑n=1∞a1rn−1 to converge?
5.
What is the sum S∞ of a convergent infinite geometric series?
6.
The notation ∑k=1nak is known as:
7.
For an arithmetic sequence, the common difference d is calculated as:
8.
In a geometric sequence, the common ratio r is found by:
9.
The sum of the first n terms of an arithmetic series is given by:
10.
If a sequence has a finite number of terms, it is called a:
11.
Which of the following represents the sum of a finite geometric series?
12.
A sequence where each term after the first is found by adding a constant to the previous term is:
14.
The terms of a sequence are also called:
15.
A sequence that continues indefinitely is called:
16.
Which formula is used to find the sum of the first n terms of an arithmetic progression using the common difference?
17.
The sum of the terms of a sequence is called a:
18.
In sigma notation ∑i=1nai, the variable i is called the:
19.
What is a1 in the context of a sequence?
20.
If an=3n+1, what is the first term a1?
21.
In the sequence 2,4,8,16,…, what is the common ratio r?
22.
In the sequence 5,10,15,20,…, what is the common difference d?
23.
What happens to the terms of a geometric sequence if r=1?
24.
The partial sum Sn of a sequence is defined as:
25.
Which of the following is an example of an infinite series?
26.
If the first term a1=10 and d=−2, what is the 5th term?
27.
In the sigma notation ∑i=1nc, where c is a constant, the sum is:
28.
A geometric sequence with a1=3 and r=2 has a 4th term of:
29.
For the series ∑n=1∞(1/3)n, the common ratio is:
30.
If a sequence is defined by an=(−1)n, it is:
31.
The sum of an infinite geometric series where a1=1 and r=1/2 is:
