Answer
Conjecture is correct.
Work Step by Step
3 + 6+9+12+15+18 = $\frac{18 *7}{2}$
L.H.S = 3 + 6+9+12+15+18
= 63
R.H.S= $\frac{18 *7}{2}$ = $\frac{126}{2}$ = 63
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