Question

using arithmetic progression how many multiples of 7 between 50 and 500

Answer 1

64 I think...............

Answer 2

your answer

▶First multiple of 7 between 50 and 500 is 56
▶ a or first term=56

▶Last multiple between 50 and 500 is 497
▶l or last term =497

▶since we are talking about multiple of 7 so common difference or d =7

≥ Applying formula of AP for the last term
≥ last term= first term +(n-1)× common difference

≥ Putting values:-

▶ 497=56+(n-1)×7
▶441=(n-1)×7

▶441=7n-7
▶448=7n
▶n =64

≥ number of terms is 64 or multiple of 7 between 50 to 500 is 64✔✔

hope helps

@AnanyaR☺