If an arithmetic progression is 13, 11, 9\dots., then find 50th term of that arithmetic progression.

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{"content":[{"type":"paragraph","content":[{"marks":[{"type":"bold"}],"text":"Step 1 (Identify AP Parameters):","type":"text"},{"text":" The arithmetic progression is ","type":"text"},{"type":"math_inline","attrs":{"latex":"13, 11, 9, \dots"}},{"text":":","type":"text"}]},{"content":[{"content":[{"content":[{"type":"text","text":"The first term is "},{"attrs":{"latex":"a = 13"},"type":"math_inline"}],"type":"paragraph"}],"type":"list_item"},{"content":[{"content":[{"text":"The common difference is ","type":"text"},{"attrs":{"latex":"d = 11 - 13 = -2"},"type":"math_inline"}],"type":"paragraph"}],"type":"list_item"}],"type":"bullet_list"},{"content":[{"text":"Step 2 (Apply AP Formula):","type":"text","marks":[{"type":"bold"}]},{"type":"text","text":" The "},{"attrs":{"latex":"n"},"type":"math_inline"},{"text":"-th term of an AP is given by ","type":"text"},{"type":"math_inline","attrs":{"latex":"a_n = a + (n-1)d"}},{"type":"text","text":". We want to find the 50th term ("},{"attrs":{"latex":"n = 50"},"type":"math_inline"},{"text":"):","type":"text"}],"type":"paragraph"},{"attrs":{"latex":"a_{50} = 13 + (50 - 1)(-2)"},"type":"math_block"},{"type":"math_block","attrs":{"latex":"a_{50} = 13 + 49(-2)"}},{"type":"math_block","attrs":{"latex":"a_{50} = 13 - 98 = -85"}},{"type":"paragraph","content":[{"marks":[{"type":"bold"}],"text":"Step 3 (Conclusion):","type":"text"},{"text":" The 50th term is exactly ","type":"text"},{"marks":[{"type":"code"}],"text":"-85","type":"text"},{"type":"text","text":"."}]}],"type":"doc"}

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