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Answer :
Final answer:
To solve this question, we can establish two equations based on the given information about the sum of the first 8 terms and the ratio of the 15th to the 35th term. We can then solve these equations to find the first term and the common difference of the AP. The 80th term can then be found using these values.
Explanation:
This question deals with the properties of an arithmetic progression (AP). For an AP, the sum of the first 8 terms is given by (8/2) * (2a + 7d) = 200, where 'a' is the first term, and 'd' is the common difference.
The ratio of the 15th term to the 35th term is given as 11:26, represented in AP terms as the equation (a + 14d)/(a + 34d) = 11/26.
Solving these two equations will provide the values of 'a' and 'd'. Once we have these values, calculating the 80th term is straightforward by using the formula a + 79d.
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