17, 25, 32, 37, 47, 58, 71, ?
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79
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90
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97
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75
The pattern follows the rule: each term increases by the sum of its digits. Starting from 17: 17+(1+7)=25, 25+(2+5)=32, 32+(3+2)=37, 37+(3+7)=47, 47+(4+7)=58, 58+(5+8)=71. Applying this pattern: 71+(7+1)=79. This is a consistent mathematical pattern throughout the sequence.
The sequence advances using a repeating pattern of six increments: +8, +7, +5, +10, +11, +13, then the cycle repeats. Checking: 17+8=25, 25+7=32, 32+5=37, 37+10=47, 47+11=58, 58+13=71, and then the pattern restarts with +8: 71+8=79, matching the marked answer. The other options (90, 97, 75) don't fit this repeating increment pattern — 90 would require a jump of +19, 97 a jump of +26, and 75 a jump of only +4, none of which continue the established six-step cycle.