nikd6090
nikd6090 nikd6090
  • 22-08-2021
  • Mathematics
contestada

Find the last three digits of the sum A=11!+12!+13!+...+2006!​

Respuesta :

ferrybukantoro
ferrybukantoro ferrybukantoro
  • 22-08-2021

Answer:

996

Step-by-step explanation:

n = 2006-11+1 = 1996

the sum A = 1996/2 × (11+2006)

= 2,012,996

so, the last 3 digits : 996

Answer Link
colinspurdle colinspurdle
  • 22-08-2021
Let’s see what happens to the last three digits
11! = ...800
12! = ...600
13! = ...800
14! = ...200
15! = ...000
Every remaining factorial will end in 000
800 + 600 + 800 + 200 = 2400
So the last three digits of 11! + 12! + 13! + ... + 2006! are 400
Answer Link

Otras preguntas

The average annual cost (including tuition, room, board, books, and fees) to attend a public college takes nearly a third of the annual income of a typical fami
What is the slope of the line?
A sector of a circle makes a 127° angle at its centre. If the arc of the sector has length 36 mm, find the perimeter of the sector.
Solve the inequality. 3x + 5 ———- <4 2 x < [?]
why is it important to carefully order events in a personal narrative​
please help meeeeeeeeeeee.... ty
Write a paragraph in the present tense in which a character discovers something dangerous. For example: a) a poisonous snake or spider b) a damaged bridge ov
can sommeone help solve equation
6. Multiply: i) 3x (5x+8y) ii) 4x (3x2 + 5x-7) iii) (3x+4y) (2x-7y) iv) (2-3a) (2a2-3a+7)​
____ drain pipe is used for the disposal of special liquids, such as in a chemical plant or research laboratory.