Question

Secondary SchoolMath 5+3 pts


Solve this problem of algebra fast plz because after 2 days I have my maths exam
And please explain it....................
Express the following algebraically if n represent the first number in each case
1.Sum of two consecutive odd integers
2.Sum of three consecutive integers
3. Sum of three consecutive odd integer
4. Twice the sum of four consecutive even integer
That's it .........plz answer fast and explain it

Answer 1

1. let first number is n

second consecutive number is n+1

their sum =n+n+1=2n+1

2.let first number be n

second consecutive be n+1

third consecutive number is n+1+1

their sum =n+n+1+n+1+1=3n+3

3. let first odd number be n

second odd consecutive number is n+1

third consecutive number is n+3

their sum =n+n+1+n+3=3n+4

4.let first even number be n

second consecutive even number is n+2

third even consecutive number is n+4

fourth even consecutive number is n+6

their sum =n+n+2+n+4+n+6=4n+12

we have to multiply it by 2

2(4n+12)

=8n+24

Answer 2

1.consecutive numbers means the nos like (2,3. 4,5) having difference of 1
so,
$n + (n + 1) \: \: \: \:$
2.sum of three consecutive integers
n + (n+1) + (n+2)

3. here difference will such that it will give odd not.
let n is odd
n+(n+2)+(n-2)

4.any no multiple of two is even so 2nis even
2(2n + (2n+2) + (2n+4)+(2n-2) )