EASY
Earn 100

Complete the pattern by finding the missing term which is represented as (?):

2,4,6,8,?

Important Questions on Sequences and Sets

HARD
Let A1,A2,A3,.. be squares such that for each n1, the length of the side of An equals the length of diagonal of An+1. If the length of A1 is 12 cm, then the smallest value of n for which area of An is less than one, is
EASY

Consider the numbers between 100 and 300 which leaves remainder 2 on division by 3.

Which is the last number in this sequence?

MEDIUM
The sum 1+13+231+2+13+23+331+2+3+...+13+23+33+...+1531+2+3+...+15-121+2+3+...+15 is equal to
EASY

Consider the numbers between 100 and 300 which leaves remainder 2 on division by 3.

Which is the first number in this sequence?

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:
MEDIUM
The value of 7+7-7+7- is
EASY
Find the first four terms of the sequence defined by a1=3 and, an=3an-1+2, for all n>1.
EASY
Write the first five terms of the sequence whose nth term is an=2n-36
EASY
A sequence is defined by an=n3-6n2+11n-6, nN. Show that the first three terms of the sequence are zero and all other terms are positive.
EASY

 Write the first five terms in each of the following sequence.

a1=1=a2 , an=an-1+an-2 , n>2.

HARD
In the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8,...,where n consecutive terms have the value n, the 1025th term is
EASY
6q+1, 6q+4 and 6q+5 are:-
EASY
Find the terms a17 and a24 in the sequence whose nth term is an=4n-3
EASY
The Fibonacci sequence is defined by a1=1=a2,an=an-1+an-2 for n>2. Find an+1an, for n=1, 2, 3, 4, 5.
EASY
Write the first five terms of the sequence whose nth term is an=n(n+2).
EASY
Write the first five terms in each of the following sequence:
a1=1, an=an-1+2, n>1.
HARD
Let an denote the number of all n digit positive integers formed by the digits 0, 1 or both such that no consecutive digits in them are 0. Let bn= the number of such n digit integers ending with digit 1 and cn= the number of such n digit integers ending with digit 0.

The value of b6 is
EASY
Write the first five terms of the sequence whose nth term is an=-1n-15n+1
EASY
Write the first five terms of the sequence whose nth term is an=nn+1
EASY
Find the term a9 in the sequence whose nth term is an=(-1)n-1n3