How many multiples of 4 are there between 27 and 595? Hint: a n = a 1 + d(n − 1), where a 1 is the first term and d is the common difference.

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How many multiples of 4 are there between 27 and 595?

Hint: a_n = a₁ + d(n − 1), where a₁ is the first term and d is the common difference.

A. 128

B. 144

C. 142

D. 150

Guest Mar 4, 2016

CPhill · Answer 1 · 2016-03-04T08:12:19

592 is the greatest integer divisible by 4 that is less than 595

28 is the next integer after 27 that is divisible by 4

So......the number of multiples is given by : 592/4 + 28/4 + 1 = 148 - 7 + 1 = 142