S = 1.2+2.3 +3.4 +............+19.20
=>3S=1.2.3+2.3.3+3.4.3+.....+19.20.3
=1.2.(3-0)+2.3.(4-1)+3.4.(5-2)+...+19.20.(21-18)
=1.2.3-0.1.2+2.3.4-1.2.3+3.4.5-2.3.4+....+19.20.21-18.19.20
=19.20.21-0.1.2
=19.20.21
=>S=\(\frac{19.20.21}{3}\)
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