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Sequences and Series question

2007 · Shift 1 · Q38

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JEE Advanced
Mathematics
Sequences and Series
2007 · Shift 1 · Q38

Sequences and Series question

2007 · Shift 1 · Q38

JEE AdvancedMathematicsSequences and SeriesMCQ+3 / −1

Let V

_r

denote the sum of the first r terms of an arithmetic progression (A.P.) whose first term is r and the common difference is (

2r-1

). Let

{T_r} = {V_{r + 1}} - {V_r} - 2

and

{Q_r} = {T_{r + 1}} - {T_r}

for r = 1, 2, ...Which one of the following is a correct statement?

A
Q $_1$ , Q $_2$ , Q $_3$ , ... are in A.P. with common difference 5
B
Q $_1$ , Q $_2$ , Q $_3$ , ... are in A.P. with common difference 6
C
Q $_1$ , Q $_2$ , Q $_3$ , ... are in A.P. with common difference 11
D
Q $_1$ = Q $_2$ = Q $_3$ , ...

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