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Q: What r the first six multiples of 5?

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the multiples of 3 are........0,3,6,9,12,15,18,21,24,27.... and more

1 ÷ 5 = 0 r 1 → first multiple of 5 in the range 1-100 is 1 x 5 = 5 100 ÷ 5 = 20 → last multiples of 5 in the range 1-100 is 20 x 5 = 100 → want the first 20 multiples of 5, namely: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100.

Suppose the first term is a, the second is a+r and the nth is a+(n-1)r. Then the sum of the first five = 5a + 10r = 85 and the sum of the first six = 6a + 15r = 123 Solving these simultaneous equations, a = 3 and r = 7 So the first four terms are: 3, 10, 17 and 24

4, 8, 12, 16, 20, 24, 28...

r2 + r - 20 = 0(r + 5)(r - 4) = 0r + 5 = 0 or r - 4 = 0r = -5 or r = 4

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18, 36, and 54

the multiples of 3 are........0,3,6,9,12,15,18,21,24,27.... and more

they r 90, 180 and 270

5 r 4

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9, 18, 27, 36 and 45.

They start with these: 144, 288, 432, 576, 720, 864 . . .

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