The common ratio is found by dividing the second term by the first: 6/3 = 2.

Add 2 to both sides: 4x = 12. Then divide by 4: x = 3.

Subtract 1 from both sides: 2x > 4. Then divide by 2: x > 2.

The first term a = 2, common difference d = 3. Sum = n/2 * (2a + (n-1)d) = 5/2 * (4 + 12) = 30.

Divide both sides by 5: x - 1 = 4. Then add 1: x = 5.

Subtract 1 from both sides: 2x > 6. Then divide by 2: x > 3.

The expression factors to (x + 5)(x + 2) since 5 and 2 add to 7 and multiply to 10.

To factor, find two numbers that multiply to -6 and add to 5: (3x - 1)(x + 2).