A group of men decided to do a job in 8 days. But since 10 men dropped out everyday, the job got completed at the end of the 12th day. How many men were at the begining?

165

Step-by-step explanation:

∵ND=N₁D₁+N₂D₂+N₃D₃−−−−−−−−N₁₂D₁₂

8x=x×1+(x−10)×1+(x−20)−−−−−(x−110)×1

8x=12x−10−20−30−−−−−−−−110

4x=10+20+30−−−−−110

4x=11/2[10+110]

4x=660

x=165

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

add an image

step-by-step explanation: