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Determine the 12th term of the arithmetic progression if the 5th term is 14 and the 8 th term is 23?
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Determine the 12th term of the arithmetic progression if the 5th term ...
Solution:

Given information:
- 5th term (a5) = 14
- 8th term (a8) = 23

Finding the common difference (d):
The common difference (d) can be found using the formula:
a8 = a5 + 3d
23 = 14 + 3d
3d = 9
d = 3

Finding the first term (a1):
The first term (a1) can be found using the formula:
a5 = a1 + 4d
14 = a1 + 4(3)
14 = a1 + 12
a1 = 2

Finding the 12th term (a12):
The 12th term (a12) can be found using the formula:
a12 = a1 + 11d
a12 = 2 + 11(3)
a12 = 2 + 33
a12 = 35
Therefore, the 12th term of the arithmetic progression is 35.
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Determine the 12th term of the arithmetic progression if the 5th term is 14 and the 8 th term is 23?
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Determine the 12th term of the arithmetic progression if the 5th term is 14 and the 8 th term is 23? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Determine the 12th term of the arithmetic progression if the 5th term is 14 and the 8 th term is 23? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Determine the 12th term of the arithmetic progression if the 5th term is 14 and the 8 th term is 23?.
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