| [["$s=(-7)+0+7+14+\\ldots+63+70+77+84$", "$s=\\displaystyle \\sum_{i=1}^{14}\\left(-7+(i-1)\\cdot7\\right)$"], ["$s=8+(-24)+72+(-216)+\\ldots+(-2^{3}\\cdot3^{31})$", "$s=\\displaystyle \\sum_{i=1}^{32}8\\cdot(-3)^{(i-1)}$"], ["$s=11+5+(-1)+(-7)+\\ldots+(-193)+(-199)+(-205)+(-211)$", "$s=\\displaystyle \\sum_{i=1}^{38}\\left(11+(i-1)\\cdot(-6)\\right)$"], ["$s=6+12+24+48+\\ldots+2^{26}\\cdot3$", "$s=\\displaystyle \\sum_{i=1}^{26}6\\cdot2^{(i-1)}$"], ["$s=9+11+13+15+\\ldots+45+47+49+51$", "$s=\\displaystyle \\sum_{i=1}^{22}\\left(9+(i-1)\\cdot2\\right)$"], ["$s=4+12+36+108+\\ldots+2^{2}\\cdot3^{19}$", "$s=\\displaystyle \\sum_{i=1}^{20}4\\cdot3^{(i-1)}$"], ["$s=10+18+26+34+\\ldots+130+138+146+154$", "$s=\\displaystyle \\sum_{i=1}^{19}\\left(10+(i-1)\\cdot8\\right)$"], ["$s=(-4)+16+(-64)+256+\\ldots+(-2^{30})$", "$s=\\displaystyle \\sum_{i=1}^{15}-4\\cdot(-4)^{(i-1)}$"], ["$s=(-5)+(-13)+(-21)+(-29)+\\ldots+(-141)+(-149)+(-157)+(-165)$", "$s=\\displaystyle \\sum_{i=1}^{21}\\left(-5+(i-1)\\cdot(-8)\\right)$"], ["$s=8+32+128+512+\\ldots+2^{39}$", "$s=\\displaystyle \\sum_{i=1}^{19}8\\cdot4^{(i-1)}$"], ["$s=(-9)+(-14)+(-19)+(-24)+\\ldots+(-169)+(-174)+(-179)+(-184)$", "$s=\\displaystyle \\sum_{i=1}^{36}\\left(-9+(i-1)\\cdot(-5)\\right)$"], ["$s=7+(-14)+28+(-56)+\\ldots+2^{18}\\cdot7$", "$s=\\displaystyle \\sum_{i=1}^{19}7\\cdot(-2)^{(i-1)}$"]] | [["$s=(-7)+0+7+14+\\ldots+63+70+77+84$", "$s=\\displaystyle \\sum_{i=1}^{14}\\left(-7+(i-1)\\cdot7\\right)$"], ["$s=8+(-24)+72+(-216)+\\ldots+(-2^{3}\\cdot3^{31})$", "$s=\\displaystyle \\sum_{i=1}^{32}8\\cdot(-3)^{(i-1)}$"], ["$s=11+5+(-1)+(-7)+\\ldots+(-193)+(-199)+(-205)+(-211)$", "$s=\\displaystyle \\sum_{i=1}^{38}\\left(11+(i-1)\\cdot(-6)\\right)$"], ["$s=6+12+24+48+\\ldots+2^{26}\\cdot3$", "$s=\\displaystyle \\sum_{i=1}^{26}6\\cdot2^{(i-1)}$"], ["$s=9+11+13+15+\\ldots+45+47+49+51$", "$s=\\displaystyle \\sum_{i=1}^{22}\\left(9+(i-1)\\cdot2\\right)$"], ["$s=4+12+36+108+\\ldots+2^{2}\\cdot3^{19}$", "$s=\\displaystyle \\sum_{i=1}^{20}4\\cdot3^{(i-1)}$"], ["$s=10+18+26+34+\\ldots+130+138+146+154$", "$s=\\displaystyle \\sum_{i=1}^{19}\\left(10+(i-1)\\cdot8\\right)$"], ["$s=(-4)+16+(-64)+256+\\ldots+(-2^{30})$", "$s=\\displaystyle \\sum_{i=1}^{15}-4\\cdot(-4)^{(i-1)}$"], ["$s=(-5)+(-13)+(-21)+(-29)+\\ldots+(-141)+(-149)+(-157)+(-165)$", "$s=\\displaystyle \\sum_{i=1}^{21}\\left(-5+(i-1)\\cdot(-8)\\right)$"], ["$s=8+32+128+512+\\ldots+2^{39}$", "$s=\\displaystyle \\sum_{i=1}^{19}8\\cdot4^{(i-1)}$"], ["$s=(-9)+(-14)+(-19)+(-24)+\\ldots+(-169)+(-174)+(-179)+(-184)$", "$s=\\displaystyle \\sum_{i=1}^{36}\\left(-9+(i-1)\\cdot(-5)\\right)$"], ["$s=7+(-14)+28+(-56)+\\ldots+2^{18}\\cdot7$", "$s=\\displaystyle \\sum_{i=1}^{19}7\\cdot(-2)^{(i-1)}$"]]); |