Question

Help me with number pattern, questions (b) to (c). Thank you!

Answer 1

9b) Numerator = 1,2,4,8,16 = 2^0, 2^1, 2^2, 2^3, 2^4 Multiples of 2. If a numerator = x, the next numerator = 2x 1/1,2/(1+2),4/(3+4) If a denominator = y, the next denominator = y+2x 2x/(2x+y) 9c) 1, 2, 4, 8, 16 = 2^(n-1) 2, 4, 8, 16, 32 = 2^n 1, 3, 7, 15, 31 = 2-1, 4-1, 8-1, 16-1, 32-1 = 2^n - 1 2^(n-1) / ( 2^n - 1 )