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Lf the nth term of an arithmetic progression is given by /(a_n=4n+1/), find the 5th term?
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Lf the nth term of an arithmetic progression is given by /(a_n=4n+1/),...
Find the 5th term of the arithmetic progression
Given:
The nth term of the arithmetic progression is given by a_n = 4n + 1
Formula for nth term of an arithmetic progression:
a_n = a_1 + (n-1)d
where:
a_n is the nth term
a_1 is the first term
d is the common difference
Comparing the given formula with the general formula:
4n + 1 = a_1 + (n-1)d
Finding the first term (a_1):
By comparing the given formula with the general formula, we can see that a_1 = 1
Finding the common difference (d):
By comparing the coefficients of n in the given formula, we can see that the common difference is 4.
Substitute the values in the formula:
a_5 = 1 + (5-1) * 4
a_5 = 1 + 4 * 4
a_5 = 1 + 16
a_5 = 17
Therefore, the 5th term of the arithmetic progression is 17.
By following the steps above, we can easily find the 5th term of the arithmetic progression when the nth term is given by a_n = 4n + 1.
Given:
The nth term of the arithmetic progression is given by a_n = 4n + 1
Formula for nth term of an arithmetic progression:
a_n = a_1 + (n-1)d
where:
a_n is the nth term
a_1 is the first term
d is the common difference
Comparing the given formula with the general formula:
4n + 1 = a_1 + (n-1)d
Finding the first term (a_1):
By comparing the given formula with the general formula, we can see that a_1 = 1
Finding the common difference (d):
By comparing the coefficients of n in the given formula, we can see that the common difference is 4.
Substitute the values in the formula:
a_5 = 1 + (5-1) * 4
a_5 = 1 + 4 * 4
a_5 = 1 + 16
a_5 = 17
Therefore, the 5th term of the arithmetic progression is 17.
By following the steps above, we can easily find the 5th term of the arithmetic progression when the nth term is given by a_n = 4n + 1.
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Lf the nth term of an arithmetic progression is given by /(a_n=4n+1/), find the 5th term?
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Lf the nth term of an arithmetic progression is given by /(a_n=4n+1/), find the 5th term? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Lf the nth term of an arithmetic progression is given by /(a_n=4n+1/), find the 5th term? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Lf the nth term of an arithmetic progression is given by /(a_n=4n+1/), find the 5th term?.
Lf the nth term of an arithmetic progression is given by /(a_n=4n+1/), find the 5th term? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Lf the nth term of an arithmetic progression is given by /(a_n=4n+1/), find the 5th term? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Lf the nth term of an arithmetic progression is given by /(a_n=4n+1/), find the 5th term?.
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