Question

Activity 3
in the sequence of 4 consecutive natural mambers, product of the first and test is 2 less
than the product of two numbers in the middle
(23) 2
(36)-2
using this, find
1821
b) 99x102​

Answer 1

Step-by-step explanation:

Let the four consecutive natural numbers be x,x+1,x+2,x+3.

According to given condition,

x(x+1)(x+2)(x+3)=5040

x(x+3)(x+1)(x+2)=5040

(x

2

+3x)(x

2

+3x+2)=5040

Let x

2

+3x=a

a(a+2)=5040

a

2

+2a=5040

Adding 1 on both sides,

a

2

+2a+1=5040+1

(a+1)

2

=5041

Answer 2

Step-by-step explanation:

something error in question

please send the picture for these types of questions