QUIZ-If-the-sum-of-the-numbers-1-to-100-can-be-calculated-with-Carl-Gauss-s-method-then-How-do-we-calculate-the-sum-of-the-numbers-starting-from-2-and-going-up-to-100-by-twos-in-an-easy-way-with-the

Question Number 186348 by test1234 last updated on 03/Feb/23

Q U I Z :

I f t h e s u m o f t h e n u m b e r s 1 t o 100 c a n

b e c a l c u l a t e d w i t h C a r l {G a u s s}^{'} s m e t h o d,

t h e n H o w d o w e c a l c u l a t e t h e s u m o f t h e

n u m b e r s s t a r t i n g f r o m 2 a n d g o i n g u p t o

100 b y t w o s i n a n e a s y w a y w i t h t h e s a m e

m e t h o d ?

O r 2 + 4 + 6 + 8 + 10 + \dots + 100 = ?

Commented by Frix last updated on 03/Feb/23

2 + 4 + 6 + \dots + 100 = 2 \times (1 + 2 + 3 + \dots + 50)

This is too easy

Commented by ajfour last updated on 04/Feb/23

1 + 2 + 3 + \dots \dots \dots . + 24 + 25

50 + 49 + 48 + \dots \dots \dots + 27 + 26

______________________

51 + 51 + 51 + \dots \dots \dots . + 51 + 51

= 25 \times 51 = 25 (50 + 1) = 1250 + 25

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