the 6th and 13th terms of a G.P is 24 and 3/16 respectively.find the sequence.
Answers & Comments
vikaskumar0507
Let the first term is a and common ratio is r = a× = 24 --------------------(1) = a× = 3/16 ----------------------(2) equation (1) ÷ (2) 24/(3/16) = 1/ 128 = 1/ 2 = 1/r r = 1/2 put the value of r in equation (1) a× = 24 a = 24*32 = 768 hence the sequence = 768, 384, 192, 96, 48, 24, 12, 6, 3, 3/2, 3/4............
Answers & Comments
equation (1) ÷ (2)
24/(3/16) = 1/
128 = 1/
2 = 1/r
r = 1/2
put the value of r in equation (1)
a×
a = 24*32 = 768
hence the sequence = 768, 384, 192, 96, 48, 24, 12, 6, 3, 3/2, 3/4............