mbpinto1234
mbpinto1234 mbpinto1234
  • 02-07-2020
  • Mathematics
contestada

Find the sum of the digits of the number 6+66+666+6666 + ... +666...66, where the last number contains 100 digits.

Respuesta :

JK94 JK94
  • 02-07-2020

Answer:

30300

Step-by-step explanation:

Actually, se have an arithmetic progression:

6, 12, 18, 24... 600

[tex]S = \frac{(6 + 600).100}{2} \\\\ S = (6 + 600).50 \\\ S = 300 + 30000 \\\ S = 30300[/tex]

I hope I've helped you.

Answer Link

Otras preguntas

Write the coordinates of the vertices after a reflection across the x-axis.
HELPPP WILL MARK BRAINLIST!!
Which is the better deal: $1.99 for 24 ounces or $1.79 for 20 ounces?
Plz answer me will mark as brainliest ​
You are fencing a rectangular puppy kennel with 26 feet of fence. The side of the kennel against the house does not need a fence, this side is 9 feet long. Find
If the diameter is 15.5 cm what is the circumference
Which of the following words mean complaining or whining often? O Homage Conquering Upbraid O Querulous
heyy I need help and can you explain it as well so I can understand it or just put the answer :^)
Identificar si las siguientes funciones son: lineal, afín o ninguna: f(x)= –2x+6 f(x)= 9+ 4x² f(x)=2x-1
a body at rest in one reference frame may be in motion in another reference frame what does it mean?​