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1-2-3-4-5-6-7-8-9-10-11-12-100-




Question Number 227489 by gregori last updated on 04/Feb/26
1+2−3−4+5+6−7−8+9+10−11−12+  ... +100 =?
$$\mathrm{1}+\mathrm{2}−\mathrm{3}−\mathrm{4}+\mathrm{5}+\mathrm{6}−\mathrm{7}−\mathrm{8}+\mathrm{9}+\mathrm{10}−\mathrm{11}−\mathrm{12}+ \\ $$$$…\:+\mathrm{100}\:=? \\ $$
Commented by Tinku Tara last updated on 04/Feb/26
3−7+11−15  3+11+19+27+35+..+195−  (7+15+23+...+199)  These are two arithmetic progression  use formula to]caclulate sum
$$\mathrm{3}−\mathrm{7}+\mathrm{11}−\mathrm{15} \\ $$$$\mathrm{3}+\mathrm{11}+\mathrm{19}+\mathrm{27}+\mathrm{35}+..+\mathrm{195}− \\ $$$$\left(\mathrm{7}+\mathrm{15}+\mathrm{23}+…+\mathrm{199}\right) \\ $$$$\mathrm{These}\:\mathrm{are}\:\mathrm{two}\:\mathrm{arithmetic}\:\mathrm{progression} \\ $$$$\left.\mathrm{use}\:\mathrm{formula}\:\mathrm{to}\right]\mathrm{caclulate}\:\mathrm{sum} \\ $$
Answered by Simurdiera last updated on 04/Feb/26
0 ?
$$\mathrm{0}\:? \\ $$
Commented by Tinku Tara last updated on 04/Feb/26
0 is not correct. −ve terms are larger
$$\mathrm{0}\:\mathrm{is}\:\mathrm{not}\:\mathrm{correct}.\:−\mathrm{ve}\:\mathrm{terms}\:\mathrm{are}\:\mathrm{larger} \\ $$

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