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An AP has 21 terms. Its first term is 7 and its last term is 87. Find its middle term.

Class 10nth Term of an APAlgebra — Sequences
  • A43
  • B94
  • C51
  • D47

Step-by-Step Solution

With 21 terms the middle one is the 11th. From we get , so . (Shortcut: the middle term of an AP with an odd number of terms is the average of the first and last, .) The 10th term is 43 and the 12th is 51; 94 is the sum 7 + 87 with the halving forgotten.
Answer: D) 47

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