Write the programs in Java to display the first ten terms of the foll
(a) 1, 4, 9, 16,
(b) 1, 2, 4, 7, 11, .
(c) 3, 6, 9, 12,
(d) 4, 8, 16, 32,
(e) 1.5, 3.0, 4.5, 6.0,
(f) 0, 7, 26,
(g) 1, 9, 25, 49,
(h) 4, 16, 36, 64,
(i) 0, 3, 8, 15,
(1) 24, 99, 224, 399,
(k) 2, 5, 10, 17,
Answer it correctly or you don't love India instead you support china
Answers
Series 1:-
1 4 9 16....
Logic:- 1^2, 2^2,....N^2
Program:-
import java.util.*;
class Series
{
public static void main(String args[])
{
Scanner sc=new Scanner(System.in);
System.out.print("Enter the term for the series: ");
int n=sc.nextInt();
for(int i=1;i<=n;i++)
System.out.print(i*i+" ");
}
}
Series 2:-
1 2 4 7....
Logic:- difference is +1,+2,+3...
Program:-
import java.util.*;
class Series
{
public static void main(String args[])
{
Scanner sc=new Scanner(System.in);
System.out.print("Enter the term for the series: ");
int n=sc.nextInt();
int a=1;
for(int i=1;i<=n;i++,a=a+i)
System.out.print(a+" ");
}
}
Series 3:-
3,6,9,12....N
Logic:- multiples of 3.
Program:-
import java.util.*;
class Series
{
public static void main(String args[])
{
Scanner sc=new Scanner(System.in);
System.out.print("Enter the term for the series: ");
int n=sc.nextInt(), a=3;
for(int i=1;i<=n;i++,a+=3)
System.out.print(a+" ");
}
}
Series 4:-
4,8,16,32...N
logic:- 4*2=8,8*2=16...
Program:-
import java.util.*;
class Series
{
public static void main(String args[])
{
Scanner sc=new Scanner(System.in);
System.out.print("Enter the term for the series: ");
int n=sc.nextInt(), a=4;
for(int i=1;i<=n;i++,a*=2)
System.out.print(a+" ");
}
}
Series 5:-
1.5 3.0 4.5 6.0
Logic:- +1.5
Program:-
import java.util.*;
class Series
{
public static void main(String args[])
{
Scanner sc=new Scanner(System.in);
System.out.print("Enter the term for the series: ");
int n=sc.nextInt();
double d=1.5;
for(int i=1;i<=n;i++,d+=1.5)
System.out.print(d+" ");
}
}
Series 6:-
0,7,26..N
logic:- N^3 -1.
Program:-
import java.util.*;
class Series
{
public static void main(String args[])
{
Scanner sc=new Scanner(System.in);
System.out.print("Enter the term for the series: ");
int n=sc.nextInt();
for(int i=1;i<=n;i++)
System.out.print((i*i*i-1)+" ");
}
}
Series 7:-
1,9,25,49
Logic:-1²,3²,5²..
Program:-
import java.util.*;
class Series
{
public static void main(String args[])
{
Scanner sc=new Scanner(System.in);
System.out.print("Enter the term for the series: ");
int n=sc.nextInt(), a=1;
for(int i=1;i<=n;i++,a+=2)
System.out.print(a*a+" ");
}
}
Series 8:-
4,16,36,64
Logic:- 2²,4²,6²...
Program:-
import java.util.*;
class Series
{
public static void main(String args[])
{
Scanner sc=new Scanner(System.in);
System.out.print("Enter the term for the series: ");
int n=sc.nextInt(),a=2;
for(int i=1;i<=n;i++,a+=2)
System.out.print(a*a+" ");
}
}
Series 9:-
0,3,8,15..
Logic:- N²-1
Program:-
import java.util.*;
class Series
{
public static void main(String args[])
{
Scanner sc=new Scanner(System.in);
System.out.print("Enter the term for the series: ");
int n=sc.nextInt();
for(int i=1;i<=n;i++)
System.out.print(i*i-1+" ");
}
}
Series 10:-
24,99,224,399
logic:- 24=4*6,
99=(4+5)*(6+5)
224=14*16(14=9+5, 16=11+5)...
Program:-
import java.util.*;
class Series
{
public static void main(String args[])
{
Scanner sc=new Scanner(System.in);
System.out.print("Enter the term for the series: ");
int n=sc.nextInt(),a=4,b=6;
for(int i=1;i<=n;i++,a+=5,b+=5)
System.out.print(a*b+" ");
}
}
Series 11:-
2 5 10 17..
Logic:- n²+1
Program:-
import java.util.*;
class Series
{
public static void main(String args[])
{
Scanner sc=new Scanner(System.in);
System.out.print("Enter the term for the series: ");
int n=sc.nextInt();
for(int i=1;i<=n;i++)
System.out.print((i*i+1)+" ");
}
}