n square - 2n + 36
The general term of a sequence is
n
How many terms of the sequence are natural
numbers?
(a) 9
(b) 8 (c) 7 (d) 6
Answers
Step-by-step explanation:
The number of ordered elements (possibly infinite ) is called the length of the sequence. Unlike a set, order matters, and a particular term can appear multiple times at different positions in the sequence.
An arithmetic sequence is one in which a term is obtained by adding a constant to a previous term of a sequence. So the
n
th term can be described by the formula
a
n
=
a
n
−
1
+
d
.
A geometric sequence is one in which a term of a sequence is obtained by multiplying the previous term by a constant. It can be described by the formula
a
n
=
r
⋅
a
n
−
1
.
Key Terms
sequence: An ordered list of elements, possibly infinite in length.
finite: Limited, constrained by bounds.
set: A collection of zero or more objects, possibly infinite in size, and disregarding any order or repetition of the objects that may be contained within it.