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Three numbers in AP have middle term 10, and the largest exceeds the smallest by 12. What is the smallest?

Class 10Properties and Selection of AP TermsAlgebra — Sequences
  • A6
  • B2
  • C4
  • D−2

Step-by-Step Solution

(10 + d) − (10 − d) = 2d = 12, so d = 6. The numbers are 4, 10, 16. 6 uses d = 12 by forgetting that the gap is 2d.
Answer: C) 4

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