Question

1) Given that α , β are the roots of the equation x² - 3x + a = 0 and γ , δ are the roots of the equation x² - 12x + b= 0. If α , β , γ , δ form an increasing G. P., then the ordered pair (a, b) is equal to: A) (3 , 12) B) (12 , 3) C) (2 , 32) D) (4 , 16)
2) Find the sum of the series upto 30 terms : 1² + 2² - 3² + 4² + 5² - 6² + 7² + 8² - 9² + ....
A) 2425 B) 2525 C) 2524 D) 2562​

Answer 1

Answer:

12" (and any subsequent words) was ignored because we limit queries to 32 words.

Answer 2

Mathematics includes the study of such topics as quantity, structure, space, and change. It has no generally accepted definition. Mathematicians seek and use patterns to formulate new conjectures; they resolve the truth or falsity of such by mathematical proof. ..

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