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Texas Instruments Digital Electronics Digital Electronics Medium

Consider the given series of numbers: 4, 44, 6, 41, 8, 38, 10, 35, ?

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Consider the given series of numbers:
4, 44, 6, 41, 8, 38, 10, 35, ?

Identify the missing number(?) to complete the respective series.

Choose one option.
Show answer & explanation
Answer: B. B) 12

Two alternating series: odd positions increase by 2 (4, 6, 8, 10, 12), and even positions decrease by 3 (44, 41, 38, 35). The 9th term belongs to the odd series: 10 + 2 = 12.

Step-by-step Derivation:
Step 1: Odd-indexed terms: 4, 6, 8, 10, ... (+2 progression).
Step 2: Even-indexed terms: 44, 41, 38, 35, ... (-3 progression).
Step 3: The next term is at position 9 (odd index): 10 + 2 = 12.