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What should come in place of тАШ?тАЩ in the given series? 32, 39, 48, 55, 64,?
71
72
73
74
71
Observe the alternating difference pattern: add 7, then add 9. Repeat this sequence to reach the next term.
Observe the alternating difference pattern: add 7, then add 9. Repeat this sequence to reach the next term.
Analyze consecutive differences
Calculate the difference between consecutive terms: 39-32 = 7; 48-39 = 9; 55-48 = 7; 64-55 = 9.
Identify the repeating cycle
The pattern follows a repeating cycle of (+7, +9). Since the last step was +9 (55+9=64), the next operation must be +7.
Calculate the final term
Apply the pattern to the last number: 64 + 7 = 71.
B: 72 is incorrect because it would require a +8 difference which breaks the +7/+9 pattern. C: 73 is incorrect because adding 9 would be the next step in an incorrect sequence, not 7. D: 74 is incorrect as it implies an addition of 10, which does not follow the established logic.
A is correct because the series follows a consistent alternating pattern of adding 7 and 9, and 64 plus 7 equals 71.
Always calculate the differences between consecutive terms first. If the difference is not constant, look for alternating operations or secondary patterns in the differences themselves.