Question

Find the missing term in the sequence: \[ 382, \quad 190, \quad \_, \quad 46, \quad 22, \quad 10 \]

• A. 88
• B. 90
• C. 92
• D. 94

Hint:

For number sequences, examine the differences or ratios between terms to identify patterns like consistent subtraction, division, or multiplication.

Answer 1

The Correct Option is D

Step 1: Find the differences between known terms. \[ 382 - 190 = 192 \] \[ 46 - 22 = 24 \] \[ 22 - 10 = 12 \]
Step 2: Observe the pattern in differences. The differences seem to be halving: \[ 192, \; ?, \; ?, \; 24, \; 12 \]
Step 3: Fill missing differences assuming halving pattern. \[ 192 \rightarrow 96 \rightarrow 48 \rightarrow 24 \rightarrow 12 \]
Step 4: Find the missing term. The missing term \(x\) satisfies: \[ 190 - x = 96 \implies x = 190 - 96 = 94 \] \[ x - 46 = 48 \implies x = 46 + 48 = 94 \] Both give \(x = 94\). \[ \boxed{94} \]