TRADER

#define taskname ""

#include <bits/stdc++.h>

#define pb push_back
#define ppb pop_back
#define ppf pop_front
#define pf push_front
#define up upper_bound
#define lp lower_bound
using namespace std;
using ll = long long;
using ld = long double;

const int maxn = 1e6 +2;
const int base = 31;
const int mod = 1e9 +7;

ll t;

int main()
{
    if(fopen(taskname".INP", "r"))
    {
        freopen(taskname".INP", "r", stdin);
        freopen(taskname".OUT", "w", stdout);
    }
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);
    cin >> t;
    while(t--)
    {
        ll x, y, k;
        cin >> x >> y >> k;
        cout << (k * (y + 1) - 2) / (x - 1) + 1 + k << '\n';
    }
}