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

To transform a plant, scientists inject DNA into a plant leaf. TRUE OR FALSE?
germany has a land area of 134,835 square miles and a water area of 3,011square miles .what is the total area of Germany
what is 5,900 round to the nearest thousand
An input of energy is required to maintain the complexity of living systems. T/F? please explain
why is 743 a prime number
3.7 times 9.4 show work
Which types of proteins help defend the body against foreign agents like bacteria?
How to translate equation into a sentence. 7(p+23)=102
is 2 squared between 1.4 and 1.5
Explain why the relationship is not linear.