11-14 Arithmetic or Geometric The term of sequence is given. (a) Find the first five terms of the sequence. (b) Graph the terms you found in part (a). (c) Find the fifth partial sum of the sequence. (d) Determine whether the sequence is arithmetic or geometric. Find the common difference or the common ratio.
The first five terms of the sequence whose term is
A sequence is a function whose domain is the set of natural numbers. The terms of a sequence are the function values,
Where, is the first term, is the second term and is the nth term of the sequence.
Consider the nth term,
Substitute for in equation , to calculate first term,
Substitute for in equation , to calculate second term,
Substitute for in equation , to calculate third term,
The graph for the terms obtained in part .
The fifth partial sum of the sequence
The sequence is arithmetic or geometric and the common difference or common ration of the sequence.
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