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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics - 2
3.15 Sequence and Series - Review

Sequence:
A sequence is a number pattern in a definite order following a certain rule.
It can be denoted by: a1, a2, a3, a4, a5 ..........an-1, an

Series:
Series is a sum of terms in a sequence.
It can be denoted by: a1 + a2 + a3 + a4 + a5 ..........an-1 + an

Series/Sequence are of two types: arithmetic and geometric.

Arithmetic Geometric
The formula to find the nth term is a + (n-1)d a1 rn-1
The formula to find the sum of n terms is S = n/2(a1 + an)
S = n/2[a + (n-1)d]

S = a1(1 - rn)/(1 - r)
Fibonacci numbers are 0, 1, 1, 2, 3, 5, 8, 13, ........

Sequences and series can be finite or infinite. A finite sequence/series is one that eventually comes to an end. Infinite sequences/series are those that continue indefinitely.

Examples:
Finite sequence: 1, 5, 9, 13, 17
Finite series: 1 + 5 + 9 + 13
Infinite sequence: 1, 2, 4, 8, 16, . . . . .
Infinite series: 1 + 2 + 4 + 8 + 16 + . . . . .

Q 1: If a1 = 2, r = 3, and n = 6, what is the value of last term a6 in the geometric series?
234
512
486

Q 2: The 17th term of a general geometric series is _______.
a1r17
a1r16
a1r15

Q 3: If a1 = 3, d = 5, and n = 10, what is the value of last term a10 in the arithmetic series?
200
180
170

Q 4: What number term is 384 in the geometric sequence: 3, 6, 12, 24, 48, ........384.
6
8
12

Q 5: Find the 8th term of 1/8, 1/4, 1/2,..........
8
10
16

Q 6: Find the 31st term of the arithmetic series 2,5, 8, .....
102
87
92

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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