Question

9. Consider the following number pattern: 4= 1 x4
10 = 2 x 5
18 = 3 x 6
28 = 4 x 7

208 = k(k + 3)
(i) Write down the 6th line in the pattern. (ii) Deduce the value of k.​

Answer 1

Answer:

I. 70 = 7 × 10

II. 208 = k(k+3)

208 = k² + 3k

k² + 3k = 208

(13)² + 3(13) = 208

hence, k = 13