Representing terms as a/r, a, ar gives product a³ = -1, so a = -1. Using sum -1/r – 1 – r = 13/12 gives common ratio r = -3/4 or -4/3, yielding terms 4/3, -1, 3/4 or 3/4, -1, ...
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The speaker could switch comfortably because she already possessed a natural love for sports and had prior sporting experience as a swimmer before deciding to transition into para-athletics.
Answer: fact-opinion. Sentence (i) presents a verifiable fact about winning an official medal at Rio 2016. Sentence (ii) expresses an opinion, showing Dr. Malik’s personal interpretation and feelings about the event’s social impact.
The sum of k consecutive natural numbers is k(2a + k – 1) / 2 = 100, meaning k(2a + k – 1) = 200. Testing odd factors gives only k = 5, yielding 18 + 19 + 20 + ...
Given a + 10d = 38 and a + 15d = 73, subtracting gives 5d = 35, so d = 7 and a = -32. Using tn = a + (n – 1)d, the 31st term is -32 + 30 ...