Question

two patterns are listed:
pattern 1: 1, 2, 4, 8, 16
pattern 2: 0, 3, 6, 9, 12
what are the next terms in both patterns?
pattern 1: 24
pattern 2: 14
pattern 1: 20
pattern 2: 24
pattern 1: 18
pattern 2: 15
pattern 1: 32
pattern 2: 15

Explanation:

Step1: Analyze Pattern 1

Pattern 1: \(1, 2, 4, 8, 16\). Each term is multiplied by 2 to get the next term. So, \(16\times2 = 32\).

Step2: Analyze Pattern 2

Pattern 2: \(0, 3, 6, 9, 12\). Each term is increased by 3 to get the next term. So, \(12 + 3=15\).

Answer:

Pattern 1: 32
Pattern 2: 15 (corresponding to the option "Pattern 1: 32; Pattern 2: 15")