For n N , if ⁻¹ 3+ ⁻¹ 4+ ⁻¹ 5+ ⁻¹ n= 4 , then n is equal to_____

Step-by-step solution

aligned & ⁻¹ 3+ ⁻¹ 4+ ⁻¹ 5+ ^1 n= 4 & ⁻¹ 1 3 + ⁻¹ 1 4 + ⁻¹ 1 5 + ⁻¹ 1 n = 4 & ⁻¹ ( 46 48 )+ ⁻¹ 1 n = 4 & ⁻¹ ( 23 24 )+ ⁻¹ 1 n = 4 & ⁻¹ 1 n = ⁻¹ 1- ⁻¹ 23 24 aligned aligned & ⁻¹ 1 n = ⁻¹ 1- ⁻¹ 23 24 & ⁻¹ 1 n = ⁻¹ ( 1- 23 24 1+ 23 24 ) & ⁻¹ 1 n = ⁻¹ ( 1 24 47 24 ) & ⁻¹ 1 n = ⁻¹ 1 47 & n=47 aligned