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Let Vr denote the sum of the first r ter...

Let `V_r` denote the sum of the first r terms of an arithmetic progression (AP) whose first term is r and the common difference is `(2r-1). Let `T_r=V_(r+1)-V_r-2 is always (A) an odd number (B) an even number (C) a prime number (D) a composite number

A

an odd number

B

an even number

C

a prime number

D

a composite number

Text Solution

Verified by Experts

The correct Answer is:
D
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ML KHANNA-PROGRESSIONS -PROBLEM SET - 5 (MULTIPLE CHOICE QUESTIONS)
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  3. In any progression, if (t(2)t(3))/(t(1)t(4)) = (t(2) + t(3))/(t(1) + t...

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  9. sum(r = 1)^(10) (r)/(1 - 3r^(2) + r^(4))=

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  10. If A = underset(n rarr oo)("Lt") sum(r = 1)^(n) tan^(-1) ((2r)/(2 + r^...

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  12. if the equation x^(4)-4x^(3)+ax^(2)+bx+1=0 has four positive roots, th...

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  13. Let Vr denote the sum of first r terms of an arithmetic progression (A...

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  14. Let Vr denote the sum of the first r terms of an arithmetic progressio...

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  15. Let V(r) denote the sum of the first r terms of an arithmetic progres...

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  16. Let A1, G1, H1 denote the arithmetic, geometric and harmonic means, re...

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  18. Let A1, G1, H1 denote the arithmetic, geometric and harmonic means, re...

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  19. Let a(n) denote the number of all n-digit numbers formed by the digits...

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  20. Let an denote the number of all n-digit positive integers formed by th...

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