How many multiples of 3 are there between 10 and 226?
2 answers:
The lowest "multiple of 3 number" between 10 and 226 is 12. The highest "multiple of 3 number" between 10 and 226 is 225. Use the formula of arithmetic sequence to find how many multiples of 3.
Un stands for the nth term of the sequence. a is for the first term. d is for the difference, in this case the difference is 3 because we're using multiples of 3. What we're looking for is n.
Un = a + d(n - 1)
225 = 12 + 3(n - 1)
225 = 12 + 3n - 3
225 - 12 = 3n - 3
213 = 3n - 3
213 + 3 = 3n
216 = 3n
3n = 216
n = 216/3
n = 72
There are 72 numbers of multiple of 3
Un stands for the nth term of the sequence. a is for the first term. d is for the difference, in this case the difference is 3 because we're using multiples of 3. What we're looking for is n.
Un = a + d(n - 1)
225 = 12 + 3(n - 1)
225 = 12 + 3n - 3
225 - 12 = 3n - 3
213 = 3n - 3
213 + 3 = 3n
216 = 3n
3n = 216
n = 216/3
n = 72
There are 72 numbers of multiple of 3
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