Given the geometric sequence: 2; 6; 18; … Determine (a)T8(a)T_{8}(a)T8, and (b)S8(b)S_{8}(b)S8.
Given the geometric series: 16 + 4 + 1 + … Explain why the sum to infinity exists, and calculate S∞.
Given the geometric series: 6+2+23+6+2+\tfrac{2}{3}+6+2+32+ … Explain why the sum to infinity exists, and calculate S∞.
Given the geometric series: 12+4+43+12+4+\tfrac{4}{3}+12+4+34+ … Explain why the sum to infinity exists, and calculate S∞.
Given the geometric sequence: 3; 6; 12; … Determine (a)T7(a)T_{7}(a)T7, and (b)S7(b)S_{7}(b)S7.
Given the geometric series: 8+2+12+8+2+\tfrac{1}{2}+8+2+21+ … Explain why the sum to infinity exists, and calculate S∞.
Given the geometric sequence: 5; 15; 45; … Determine (a)T8(a)T_{8}(a)T8, and (b)S8(b)S_{8}(b)S8.
Given the geometric sequence: 4; 8; 16; … Determine (a)T7(a)T_{7}(a)T7, and (b)S7(b)S_{7}(b)S7.
Given the geometric sequence: 6; 12; 24; … Determine (a)T7(a)T_{7}(a)T7, and (b)S7(b)S_{7}(b)S7.
Given the geometric series: 12+3+34+12+3+\tfrac{3}{4}+12+3+43+ … Explain why the sum to infinity exists, and calculate S∞.
Given the geometric sequence: 7; 21; 63; … Determine (a)T7(a)T_{7}(a)T7, and (b)S7(b)S_{7}(b)S7.
Given the geometric sequence: 7; 14; 28; … Determine (a)T7(a)T_{7}(a)T7, and (b)S7(b)S_{7}(b)S7.
