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The sum of all the terms of an AP is 550. Its first term is 5 and its last term is 95.
How many terms are there, and what is the common difference?

Class 10Sum of n Terms of an APAlgebra — Sequences
  • A11 terms, d = 9
  • B11 terms,
  • C10 terms, d = 10
  • D12 terms, d = 8

Step-by-Step Solution

From , so . Then gives , so . The option comes from writing instead of — 11 terms have only 10 gaps. "10 terms, " and "12 terms, " both fail the check .
Answer: A) 11 terms, d = 9

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