HARD
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Let Sn denote the sum of the cubes of the first n natural numbers and sn denote the sum of the first n natural numbers. Then r=1nSrsr equals

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Important Questions on Sequence and Series

EASY
What will come in the place of the question mark in the given number series:
89, 86, 78, 63, 39, ?
EASY

Which of the following should come in the place of '?' ?

AB3, DE6, HI10, MN15, ?

EASY

What will come in the place of question mark in the given number series:

142, 70, 34, 16, ?, 2.5.

EASY

What will come in place of the question mark (?) in the following number series:

48, 23, ?, 4.25, 1.125

MEDIUM

What should come in place of the question mark for the following question:

1, 244, 163, 190, 181, ?

MEDIUM

What will come in place of question mark (?) in the following number series:

2, 15, 41, 80, 132, ?

EASY

What will come in the place of the question mark in the given number series:

0.75, ?, 6, 36, 288, 2880.

HARD
Let Sk=1 + 2 + 3++kk. If S12+S22++S102=512A, then A is equal to :
MEDIUM

What should come in place of the question mark for the following question:

256, ?, 190, 167, 148, 131

EASY

What should come in place of the question mark in the following question:

36, 18, 6, 3, 1, ?

EASY

What will come in place of the question mark (?) in the following number series?

?, 15, 75, 525, 4725, 51975

MEDIUM

The following series is based on the English alphabets and numbers, which of the following will come in place of the question mark in the given series?

XW2    TS6    PO10    LK14    ?

MEDIUM

What will come in the place of question mark for the following number series:

21, 37, 40.2, 88.2, 94.6, ?.

EASY
What will come in the place of question mark in the given number series:
17, 9, 10, 16.5, 35, ?.
HARD
The sum of first 9 terms of the series 131+13+231+3+13+23+331+3+5+... is
HARD
If n=1 5 1nn+1n+2n+3=k3,  then k is equal to:
MEDIUM
If the sum of the first 15 terms of the series 343+1123+2143+33+334 3+ is equal to 225K, then K is equal to :
EASY

What should come in place of the question mark in the following question:

18, 29, 42, 53, ?, 77

HARD

What should come in place of the question mark in the following question:

18, 8, 6, 9, 32, ?

EASY
The sum of odd integers from 1 to 2001 is