lamda function does not update the reference array

I have a method which basically updates each value of the passed reference array by 5.

Initially I tried the below options but it wouldn't update the reference array.

Option 1:

void Int_Array_Update(std::vector<int>& param)
{   
    auto f1 = [](int n) { return n + 5; };
    std::for_each(param.begin(), param.end(), f1);
}

Option 2:

void Int_Array_Update(std::vector<int>& param)
{   
    auto f1 = [&](int n) { return n + 5; };
    std::for_each(param.begin(), param.end(), f1);
}

Option 3:

void Int_Array_Update(std::vector<int>& param)
{   
    auto f1 = [&param](int n) { return n + 5; };
    std::for_each(param.begin(), param.end(), f1);
}

The workaround I have currently is as below:

void Int_Array_Update(std::vector<int>& param)
{   
    for (int i = 0; i < param.size(); ++i)
        param[i] = param[i] + 5;
}

I am not able to find any answers why the lamda function is not updating the reference vector or maybe I am doing something wrong. Any help is appreciated.

Thanks in advance.