Question 21 of 25intermediate🔧 ApplyNumerical4 marks

Find 3 consecutive numbers with a product of (a) −6 (b) 120

(a)

Find 3 consecutive numbers with a product of −6

Answer

The three consecutive numbers are −3, −2, −1.

(b)

Find 3 consecutive numbers with a product of 120

Answer

The three consecutive numbers are 4, 5, 6.

Explanation

(a) Since the product is negative, we need an odd number of negative factors. Checking: (−3) × (−2) × (−1) = −6. (b) Since the product is positive, we can have all positive or all negative factors. Checking: 4×54 \times 5 × 6 = 120.