seunou915
seunou915 seunou915
  • 04-07-2022
  • Mathematics
contestada

Sonam says that the 20th figure in this pattern has 400 small triangles. do you agree? explain your thinking. ​

Sonam says that the 20th figure in this pattern has 400 small triangles do you agree explain your thinking class=

Respuesta :

rvkacademic
rvkacademic rvkacademic
  • 04-07-2022

Answer:

No. There should be 210 small triangles

Step-by-step explanation:

The number of small triangles in these figures forms a sequence

Fig         No Small Triangles
1             1
2            3  (1+2)
3            6  (1+2+3)

So the nth figure should have 1+2+3+.....+(n-1)+ n

1+2+3+.....+(n-1)+ n = [tex]\frac{n (n-1)}{2}[/tex]
So for 20th figure, n = 20 and number of small triangles = 20 x 21 /2 = 420/2 = 210

Answer Link

Otras preguntas

what is a bodegon what is its significance
What is 0.1 times 30
What is a+b=c if a is equal to b
What is the area of the triangle? A. 208 in2 B. 192 in2 C. 104 in2 D. 96 in2
The automobile industry was uniquely suited to the mass production of a. “Government Issue” clothing. c. military equipment. b. ships. d. buildings to house sol
5 ways you can tell a living thing from a nonliving thing
Which Cold War incident broke off important talks between Eisenhower and Khrushchev in 1960?
The Mamluks, a Muslim army from Egypt, were able to put an end to the conquerings of what group? Chinese Armenians Persians Mongols
Which constitutional principle prohibits an individual state from declaring war? limited government federalism balances popular sovereignty
where is crust neither formed or destroyed