M0IITU02 - Progressions qns

M0IITU02 - Progressions qns - Progressions a n +1 + b n +1...

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1 QUEST TUTORIALS Head Office : E-16/289, Sector-8, Rohini, New Delhi, Ph. 65395439 1. If a b a b n n n n + + + + 1 1 be the A.M. of a & b, then n = (A) 1 (B) - 1 (C) 0 (D) None of these 2. The first term of an A.P. is 2 and common difference is 4 . The sum of its 40 terms will be : 3200 1600 200 2800 3. If the sum of the roots of the equation ax 2 + bx + c = 0 be equal to the sum of the reciprocals of their squares, then bc 2 , ca 2 , ab 2 will be in : A.P. G.P. H.P. 4. If a & b are two different positive real numbers, then which of the following relations is true ? 2 a b > (a + b) 2 < (a + b) 2 = (a + b) 5. If the 4 th , 7 th and 10 th terms of a G.P. be a, b, c respectively, then the relation between a, b, c is : b = a c + 2 a 2 = bc b 2 = ac c 2 = ab 6. a 1/x = b 1/y = c 1/z and a, b, c are in G.P. then x, y, z A.P. G.P. H.P. 7. If (p + q) th term of a G.P. be m and (p - q) th term be n, then the p th term will be : 1 mn (m n) 3/2 8. p th , q th , r th and s th terms of an A.P. be in G.P., then (p - q), (q - r), (r - s) G.P. (B) A.P. H.P. 9. 3 5 7 5 8 11 10 + + + + + + ....... ...... to n terms to terms = 7, then the value of n 35 36 37 40 10. The sum of the first terms of the series 1 2 3 4 7 8 15 16 + + + + . ..... 2 n - n - 1 1 - 2 -n n + 2 - n 2 n 11. If the arithmetic, geometric & harmonic means between two distinct positive real numbers be A, G & H respectively, then the relation between them is : A > G > H H < G < A G > A > H 12. harmonic means between two positive and real numbers be A, G and H, then : A 2 = GH H 2 = AG G = AH G 2 = AH Progressions
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2 QUEST TUTORIALS Head Office : E-16/289, Sector-8, Rohini, New Delhi, Ph. 65395439 13. If a 1 , a 2 3 , . ..... n are in A.P., where a i > 0 for all i, then the value of 1 1 2 a a + + 1 2 3 a a + + .
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This note was uploaded on 10/05/2011 for the course MATH 1201 taught by Professor Friesner during the Spring '11 term at St. Mary NE.

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M0IITU02 - Progressions qns - Progressions a n +1 + b n +1...

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