36 is the correct answer because this sequence follows the triangular number pattern: 1, 1+2=3, 1+2+3=6, 1+2+3+4=10, 1+2+3+4+5=15, 1+2+3+4+5+6=21, 1+2+3+4+5+6+7=28, so the next is 1+2+3+4+5+6+7+8=36. Each term increases by consecutive integers (+2, +3, +4, +5, +6, +7, +8).