52 = 4 + (n-1)3
→ 3(n-1) = 48
→ n - 1 = 16
→ n = 17
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-52 - 3 + 63 -52 + 66 + 14
52
To find what x 3 equals 52, you need to divide 52 by 3. 52 divided by 3 equals 17.33 recurring. Therefore, x is equal to 17.33 recurring when multiplied by 3 to equal 52.
To be rational, the numerator has to be a factor of 52 (the last term), and the denominator has to be a factor of 3 (the coefficient of the first term). Try all the combinations, including negative numbers (52/1, -52/1, 52/3, -52/3, 26/1, 26/3, etc.), to see whether one of them is a zero.
3 pluses