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Determine the 12th term of the arithmetic progression if the 5th term is 14 and the 8th term is 23?
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Determine the 12th term of the arithmetic progression if the 5th term ...
Given Information:
- 5th term (a5) = 14
- 8th term (a8) = 23

Finding Common Difference (d):
- The common difference (d) can be calculated using the formula:
d = (a8 - a5) / (8 - 5)
d = (23 - 14) / 3
d = 3

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

Finding 12th Term (a12):
- The 12th term (a12) can be calculated using the formula:
a12 = a1 + 11d
a12 = 2 + 11(3)
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 8th term is 23?
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