2400 in prize money...
the first winner will receive 1/3 of the money..
1/3 * 2400 = 2400/3 = 800
leaving 2400 - 800 = 1600
the next 10 winners will receive 1/10 of the remaining amount
1/10 * 1600 = 1600/10 = 160 <== each will receive $ 160
Write that as 7x. Writing it as x7 could lead to confusion. 7*x would be OK.
Answer:
its legit 5
Step-by-step explanation:
Since
are in arithmetic progression,




and since
are in geometric progression,




Recall that


It follows that

so the left side is

Also recall that

so that the right side is

Solve for
.

Now, the numerator increases more slowly than the denominator, since


and for
,

This means we only need to check if the claim is true for any
.
doesn't work, since that makes
.
If
, then

If
, then

If
, then

There is only one value for which the claim is true,
.