13.
[tex]a)\\\\ 9^{2} = 9\cdot9 = 81\\\\6^{2} = 6\cdot6 = 36\\\\10^{2} = 10\cdot10 =100\\\\11^{2} = 11\cdot11 = 121\\\\30^{2} = 30\cdot30 = 900\\\\100^{2} = 100\cdot100 = 10 \ 000[/tex]
[tex]b)\\\\0^{3} = 0\cdot0\cdot0 = 0\\\\1^{3} = 1\cdot1\cdot1 = 1\\\\10^{3} = 10\cdot10\cdot10= 1000\\\\3^{3} = 3\cdot3\cdot3 = 27\\\\20^{3} = 20\cdot20\cdot20 = 8 \ 000\\\\100^{3} = 100\cdot100\cdot100 = 1 \ 000 \ 000[/tex]
16.
[tex]a) \ 2, \ 4, \ 8, ...\\\\2\cdot2 = 4\\4\cdot2 = 8\\8\cdot2 = 16\\16\cdot2 = 32\\32\cdot2 = 64\\64\cdot2 = 128\\\\2, \ 4, \ 8, \ \underline{16}, \ \underline{32}, \ \underline{64}, \ \underline{128}[/tex]
[tex]b) \ 1, \ 3, \ 6, \ 10, ...\\\\1+2 = 3\\3+3 = 6\\6+4 = 10\\10+5 = 15\\15+6 = 21\\21+7 = 28\\28+8 = 36\\\\1, \ 3, \ 6, \ 10, \ \underline{15}, \ \underline{21} \ \underline{28}, \ \underline{36}[/tex]
[tex]c) \ 1, \ 3, \ 7, \ 15, \...\\\\1+2^{1} = 1+2 = 3\\3+2^{2}=3+4 = 7\\7+2^{3} = 7 + 8=15\\15+2^{4}=15+16 = 31\\31+2^{5} = 31 + 32 = 63\\63 + 2^{6} = 63+64 = 127\\127+2^{7} = 127 + 128 = 255[/tex]
[tex]c) \ 1, \ 3, \ 7, \ 15, \ \underline{31}, \ \underline{63}, \ \underline{127}, \ \underline{255}[/tex]
