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

16.   The main reason self-confidence is important in human relations is because
Which three countries have the least access to technology?
1) fought at Lexington and Concord 2)a formal meeting called for a special purpose 3) complaints against British rule 4) formed to solve the problem of trade
what is £42 increased by 10%
David bought a game on sale for $6 less than half its original price.she paid $88 for the jacket. What was the original price
A plane flies round-trip to Philadelphia. If flies to Philadelphia at 220 miles per hour and back home with a tailwind at 280 miles per hour. If the total trip
A spinner is divided into 16 sections.3 sections are red 6 are blue 5 are purple and 2 are orange. If you spin the spinner what is the probability that you will
Write five names for 64 .
8. Intrusive igneous rock bodies are called A. tephra. B. tectonics. C. cinder cones. D. plutons.
Which three countries have the least access to technology?