x and x+1 are the two continuous natural numbers, then (i) Write the next two natural numbers. (ii) Find the product of first an
d the fourth number. (iii) Find the product of second and the third number. (iv) Find the relation between these products.
2 answers:
Answer:
(i) X+2 and x+3;
(ii) x( x+4)= X^2 +4x;
(iii) x( x+4)=a
(x+1)(x+3)= a+3
Step-by-step explanation:
(i) X+2 and x+3;
(ii) x( x+4)= X^2 +4x;
(iii) (x+1)(x+3)=x^2+3X+X+3=x^2+4x+3;
x(x+4)=a
(x+1)(x+3)= a+3
Step-by-step explanation:
x is followed by x+1 so each time we add one
our sequence goes like this:
- x
- x+1
- x+1+1⇒ x+2
- x+2+1⇒x+3
the first number is x and the fourth one is x+3
the second number is x+1 and the third one is x+2
- (x+1)(x+2)
- x²+2x+x+2
- x²+3x+2
the first product is x²+3x and the second one is x²+3x+2
Let P be x²+3x and P' be x²+3x+2
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