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Answer :
Final answer:
To find the first term and the 11th term of an Arithmetic Progression given the sum of the first 6 terms and the ratio of specific terms, calculate the common difference and solve equations to determine the first term and the 11th term.AP is 1.5 and the 11th term is 17.
Explanation:
Arithmetic Progression (AP):
- Given that the sum of the first 6 terms of the AP is 42, we can find the common difference using the sum formula.
- Next, since the ratio of the 10th term to the 30th term is 1:3, we can set up equations based on the general terms of the AP to find the first term.
- By solving these equations, we can determine that the first term of the AP is 1.5 and the 11th term is 17.
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