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What should come in place of тАШ?тАЩ in the given series? 29 35 46 52 63 ?
71
70
67
69
69
Observe the alternating difference pattern: +6, +11, +6, +11. Applying the sequence +6, +11, +6, +11 repeats the logic consistently.
Observe the alternating difference pattern: +6, +11, +6, +11. Applying the sequence +6, +11, +6, +11 repeats the logic consistently.
Analyze the differences between terms
Calculate the difference between consecutive terms: 35-29 = 6, 46-35 = 11, 52-46 = 6, 63-52 = 11.
Identify the repetitive cycle
The differences follow a cycle of [+6, +11]. The last difference was +11 (52 to 63), so the next difference must be +6.
Calculate the final term
Add 6 to the last term: 63 + 6 = 69.
A: 71 is wrong because it adds 8, not 6. B: 70 is wrong because it adds 7, not 6. C: 67 is wrong because it adds 4, not 6.
D is correct because the series follows an alternating addition pattern of +6 and +11, and adding 6 to 63 results in 69.
In number series, always check the difference of differences first if the numbers are close; if a pattern like +6, +11, +6, +11 emerges, it confirms a stable alternating series.