In a Chinese game show, 50% of the players are eliminated each day. If the show starts with 1,000 players, to the nearest integer, how many players will be present at the end of the 8th day of play?

1
4
14
41

what is the formula? help!

Question

In a Chinese game show, 50% of the players are eliminated each day. If the show starts with 1,000 players, to the nearest integer, how many players will be present at the end of the 8th day of play?

1
4
14
41

what is the formula? help!

parthkohli · Answer

$$\Large \color{purple}{\rightarrow 1000(1 - {50 \over 100})^n }$$

anonymous · Answer

like is it the arithmetic sequences or geometric?

anonymous · Answer

Geometric.

parthkohli · Answer

Geometric of course, as there is a common ratio.

anonymous · Answer

so is it the formula: or the geomertic series, or sequence?

anonymous · Answer

It is the formula of the 8th number of a geometric sequence, with common ratio 1/2, except that there is this phrase 'to the nearest integer'.

anonymous · Answer

is it the formula: an = a1(r)^(n-1) or is it a1 - a1(r)^n/1-r

ash2326 · Answer

@sar12 did you understand?

dumbcow · Answer

its the first one to find 8th term in sequence

anonymous · Answer

understand what, i just need help with the formula.. because there is this n = a1(r)^(n-1) or this it a1 - a1(r)^n/1-r  to do it and im confused which one....

dumbcow · Answer

the 2nd one deals with sum of geometric series

anonymous · Answer

so its an = a1(r)^(n-1)?

anonymous · Answer

a=1000
r=1/2

anonymous · Answer

yes and n = 8

dumbcow · Answer

actually n = 9 now that i look at question again....it says at END of 8th day

anonymous · Answer

just keep devide 8 times with a calculator and you get 3.90625 lol

anonymous · Answer

well which means when its finsihed not when its ninth day, right?

anonymous · Answer

Adumbcow, ur right i just did the nine for it and got 3.90625, which is 4.

anonymous · Answer

i mean @

dumbcow · Answer

:)