l=[]
for pratyush in range(int(input())):
x,y,k=map(int,input().split())
s=y*k+k-x
n=(s)//(x-1)
if s%(x-1)==0:l.append(1+k+(s)//(x-1))
else:l.append(2+k+n)
for i in l:print(i)
#include <bits/stdc++.h>
#include <math.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
# define M_PI 3.14159265358979323846
const int M=1e9+7;
long long mod(long long x){
return ((x%M + M)%M);
}
long long add(long long a, long long b){
return mod(mod(a)+mod(b));
}
long long mul(long long a, long long b){
return mod(mod(a)*mod(b));
}
ll modPow(ll a, ll b){
if(b==0)
return 1LL;
if(b==1)
return a%M;
ll res=1;
while(b){
if(b%2==1)
res=mul(res,a);
a=mul(a,a);
b=b/2;
}
return res;
}
void solve (){
ll x,y,k;
cin>>x>>y>>k;
ll coal=k;
ll sticks=(coal)*y;
sticks+=k;
sticks--;
ll total=sticks/(x-1);
ll other=sticks%(x-1);
if(other)
total++;
cout<<total+k<<"\n";
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cout<<fixed;
cout<<setprecision(10);
// freopen("timber_input.txt", "r", stdin);
// freopen("timber_output.txt", "w", stdout);
int t=1;
cin>>t;
for(int i=1;i<=t;i++){
// cout<<"Case #"<<i<<": ";
solve();
}
return 0;
}
507B - Amr and Pins | 379A - New Year Candles |
1154A - Restoring Three Numbers | 750A - New Year and Hurry |
705A - Hulk | 492B - Vanya and Lanterns |
1374C - Move Brackets | 1476A - K-divisible Sum |
1333A - Little Artem | 432D - Prefixes and Suffixes |
486A - Calculating Function | 1373B - 01 Game |
1187A - Stickers and Toys | 313B - Ilya and Queries |
579A - Raising Bacteria | 723A - The New Year Meeting Friends |
302A - Eugeny and Array | 1638B - Odd Swap Sort |
1370C - Number Game | 1206B - Make Product Equal One |
131A - cAPS lOCK | 1635A - Min Or Sum |
474A - Keyboard | 1343A - Candies |
1343C - Alternating Subsequence | 1325A - EhAb AnD gCd |
746A - Compote | 318A - Even Odds |
550B - Preparing Olympiad | 939B - Hamster Farm |