Question

find the sum of 1 to 200 without actual calculation find its pattern and explain it​

Answer 1

Answer:

If a sequence be 1+2+3+....+n then value is

n(n+1) / 2

so 1+2+3+...+200= 200*201/2= 20100

Answer 2

Step-by-step explanation:

We have A.P = 1,2,3,45........200.

First term (a) = 1

last term (l) = 200

common difference(d) = 1

No. of terms (n) = 200

We know that Sn = n/2( a+l) [ See By Ju's ]

So, Sn = 200/2( 200+1)

=>100(201)

= 20100 Ans..

Hope It Helps..... :)