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How many multiples of 7 lie between 100 and 500?

Class 10nth Term of an APAlgebra — Sequences
  • A57
  • B56
  • C58
  • D55

Step-by-Step Solution

First multiple after 100 is 105, last before 500 is 497. AP: 105, ..., 497 with d = 7. 497 = 105 + (n-1)7 => 392 = 7(n-1) => n-1 = 56 => n = 57.
Answer: A) 57

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