The sum of the first 30 terms of an arithmetic progression (AP) is 930, with the first term being 2. To find the common difference \( d \), we use the AP sum formula: \[ S_n = \frac{n}{2} \left[ 2a + (n-1) \cdot d \right] \] Given \( S_{30} = 930 \), \( a = 2 \), and \( n = 30 \): \[ 930 = \frac{30}{2} \left[ 2(2) + (30-1) \cdot d \right] \] \[ 930 = 15 \left[ 4 + 29d \right] \] \[ 930 = 60 + 435d \] \[ 930 - 60 = 435d \] \[ 870 = 435d \] \[ d = \frac{870}{435} \] \[ d = 2 \] The common difference is \( d = 2 \).