Question

(1x2x3 x 4)+1=5,
(2x3 x4 x 5) + 1 = 11,
(3x4 x5 x 6) +1 = 19
etc., then the value of
(50 x 51 x 52 x 53) + 1 =​

Answer 1

Answer:

In the given question,

(1×2×3×4)+1=5

⇒You will observe that the multiplication of the given terms is 24 and when you add 1 it becomes 25 which is the square of 5.

Also,when you add only the multiplication part i.e (1+2+3+4)=5 which is given in RHS.

Same happens with the rest of the equations,

i.e  (2×3×4×5)+1=11

In which the multiplication part gives the result 120 and after adding 1 it becomes 121 which is the square of 11 given in RHS.

And,(2+3+4+5)=11 from which you will get the RHS part.

So, by seeing above equations and their relations we can conclude that,

⇒(50×51×52×53)+1=(50+51+52+53)=206.

Hope It helps you.