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Answer :
Final answer:
The statement about the Arithmetic Progression is false. Though the fifth term correctly aligns with the given progression, the difference between the eighth and thirteenth terms is not correctly stated.
Explanation:
The statement that 'an AP, where the fifth term is 19 and the difference of the eighth term from the thirteenth term is 20, is 3, 7, 11, 15....' is false.
In an Arithmetic Progression(AP), the nth term is given by the formula: a + (n-1)d, where a is the first term and d is the common difference. The common difference in the given sequence is 4 (7-3 = 4).
The fifth term can be calculated as a + 4d = 3 + 4*4 = 19 which is correct. However, the difference between the eighth and thirteenth terms can be found thus: (a+12d) - (a+7d) = 5d = 5*4 = 20. But the statement claimed this value to be 3, which is not correct.
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