Multiple choice

Which term of the sequence 6, 13, 20, 27, \ldots is 98 more than its 24th term?

  1. 27

  2. 38

  3. 98

  4. 30

  5. 35
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

AP with first term a = 6, common difference d = 7. 24th term = a + 23d = 6 + 161 = 167. We need the term that is 98 more than 167, so target = 265. Using nth term formula: 6 + (n-1)7 = 265, giving (n-1)7 = 259, so n-1 = 37 and n = 38. Option C (98) is a distractor - it's the difference, not the term number.

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