Concept explainers
(a)
To find: The common difference d for the given sequence.
(a)
Answer to Problem 3T
The common difference
Explanation of Solution
Given:
The given arithmetic sequence is,
Definition used:
The difference in the succeeding term to that of preceding tern is refer as common difference
Calculation:
Let the first term of the of given arithmetic sequence be
Similarly the second, third and fourth term be
From the definition of common difference
Substitute 2 for
Thus, the common difference
(b)
To find: The formulae of the
(b)
Answer to Problem 3T
The formulae of the
Explanation of Solution
Given:
The given arithmetic sequence is,
Definition used:
By the definition of arithmetic sequence of the form,
The
Where a is the first term, d is the common difference of the sequence.
Calculation:
By the definition of arithmetic sequence
From part (a) the value of d is 3 and a is 2.
Substitute 2 for a and 3 for d in the equation (1) for the
Therefore, the formulae of the
(c)
To find: The
(c)
Answer to Problem 3T
The
Explanation of Solution
Given:
The given arithmetic sequence is,
Calculation:
From part (b)
Substitute 35 for n in equation (1) for the
Thus, the
Chapter 12 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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