EASY
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Write the first three terms in the following sequence defined by the following:

an=n-34

Important Questions on Sequences and Series

EASY

What should come at the place of question mark?

46080,3840,384,48,8,2, ? 

EASY
The algebraic form of an arithmetic sequence is 5n+3. What is the first term of the sequence?
MEDIUM
Let a1,a2,a100 be non-zero real numbers such that a1+a2++a100=0, Then
EASY
For a sequence, if Sn=5n-2n2n, then its fourth term is
MEDIUM
The sum of the first 20 terms of the series 1+32+74+158+3116+ is
MEDIUM
The number of terms common to both the arithmetic progressions 2,5,8,11,,179 and 3,5,7,9,,101 is
MEDIUM
The sum of the series 1x+1+2x2+1+22x4+1++2100x2100+1 when x=2 is:
EASY

 Let Sn=1·(n-1)+2·(n-2)+3·(n-3)++(n-1)·1, n4. 

The sum n=42 Snn!-1(n-2)! is equal to : 

EASY
Find the 18th and 25th terms of the sequence defined by an=nn+3, if nN and n is even: 2nn2+1, if nN and n is odd.
HARD
If the sum of the first ten terms of the series 1352+2252+3152+42+4452+., is 165m , then m is equal to 
MEDIUM
The sum of the following series 1+6+912+22+327+1212+22+32+429+15(12+22++52)11+.... up to 15 terms, is:
HARD
The sum of the series (1+2)+1+2+22+1+2+22+23+  upto n terms is 
MEDIUM

On simplification the product

x1-y1x2+y2...x10 + y10

How many such terms are there which will have only single x and rest y's ?

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If x be the greatest integer less than or equal to x, then  n=8100-1nn2 is equal to:
EASY
The sum of all tree digit numbers which are odd is ?
MEDIUM
The value of 21·13+32·19+43·127+54·181+... is
EASY
The algebraic form of an arithmetic sequence is 5n+3. What will be the remainder if the terms are divided by 5?
MEDIUM
Let 1x1, 1x2,,1xn(xi0 for i=1, 2,., n) be in A.P. such that x1=4 and x21=20 . If n is the least positive integer for which xn>50, then i=1n1xi is equal to
MEDIUM
The sum of the series 1+2×3+3×5+4×7+ upto 11th term is: