Concept explainers
To calculate: To write an expression to find the value of the term in the
Answer to Problem 12MCQ
Equation find the value of the term in the
Explanation of Solution
Given information:Table is
Position | 1 | 2 | 3 | 4 | n |
Value | 5 | 14 | 23 | 32 |
Formula Used:
Term: In a sequence, each number is referred to as a term
Term Number: In a sequence, the position of the given term is referred to as term number.
When the difference between the consecutive terms of a sequence is common, then the sequence is an arithmetic sequence.
Nth number of arithmetic sequence is given as
Calculation:
Table is given as follows:
Position | 1 | 2 | 3 | 4 | n |
Value | 5 | 14 | 23 | 32 |
Sequence is given as follow:
Let the nth number be
Here, the first term of the sequence is
Also, the common difference is
Since the difference is common, hence the sequence in arithmetic sequence.
Let term is denoted by
Thus, nth term of arithmetic sequence is given as
Substituting the values in above equation,
Conclusion:
Hence, the equation find the value of the term in the
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