0000:00:00:00:00Start15Number 15Explanation4,5,8,2,…,…,32,−4,64,−74, 5, 8, 2, \dots, \dots, 32, -4, 64, -74,5,8,2,…,…,32,−4,64,−7 The correct values to complete the number sequence are...12,−112, -112,−116,−116, -116,−1−2,12-2, 12−2,1212,1612, 1612,16−1,−2-1, -2−1,−2ExplanationThis sequence consists of two alternating patterns. First pattern (odd positions): 4→×28→×216→×232→×2644 \xrightarrow{\times 2} 8 \xrightarrow{\times 2} \mathbf{16} \xrightarrow{\times 2} 32 \xrightarrow{\times 2} 644×28×216×232×264 Second pattern (even positions): 5→−32→−3−1→−3−4→−3−75 \xrightarrow{-3} 2 \xrightarrow{-3} \mathbf{-1} \xrightarrow{-3} -4 \xrightarrow{-3} -75−32−3−1−3−4−3−7 The missing terms are the 555th term (from the first pattern) and the 666th term (from the second pattern). For the 555th term: 8×2=168 \times 2 = 168×2=16 For the 666th term: 2−3=−12 - 3 = -12−3=−1 Therefore, the correct values to complete the sequence are 161616 and −1-1−1.
15Number 15Explanation4,5,8,2,…,…,32,−4,64,−74, 5, 8, 2, \dots, \dots, 32, -4, 64, -74,5,8,2,…,…,32,−4,64,−7 The correct values to complete the number sequence are...12,−112, -112,−116,−116, -116,−1−2,12-2, 12−2,1212,1612, 1612,16−1,−2-1, -2−1,−2ExplanationThis sequence consists of two alternating patterns. First pattern (odd positions): 4→×28→×216→×232→×2644 \xrightarrow{\times 2} 8 \xrightarrow{\times 2} \mathbf{16} \xrightarrow{\times 2} 32 \xrightarrow{\times 2} 644×28×216×232×264 Second pattern (even positions): 5→−32→−3−1→−3−4→−3−75 \xrightarrow{-3} 2 \xrightarrow{-3} \mathbf{-1} \xrightarrow{-3} -4 \xrightarrow{-3} -75−32−3−1−3−4−3−7 The missing terms are the 555th term (from the first pattern) and the 666th term (from the second pattern). For the 555th term: 8×2=168 \times 2 = 168×2=16 For the 666th term: 2−3=−12 - 3 = -12−3=−1 Therefore, the correct values to complete the sequence are 161616 and −1-1−1.
