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

Help Evaluate -7(5 + 3) - |-6|. -50 -14 -84 -62
I WILL GIVE BRAINLIEST!! Record the volume of the liquid in the graduated cylinder. The volume of the ------------liquid is milliliters.
What forced many homesteaders to abandon their farms in the 1930s? A. mechanization B. Native Americans C. a drought D. the Depression
Which of the following statements about the W-2 form is TRUE? 1.AW-2 lists all the money you earned in cash over the last year 2. You need a separate W-2 form f
I need help with this please...
can you please help me with this
HI CAN ANYONE PLS PLS PLS ANSWER DIS RQ!!!!!
Solve the system of equations using elimination: 3x+3y=0 8x-7y=-30
The Nuremberg laws had what effect on the people of Germany? *
Why did Talmadge and Southern Democrats oppose the New Deal? Check all that apply. Too many new laws were being passed. It was beginning to cost too much. Most