Question -
Answer -
(a) The givensequence, 2, 2тИЪ2, 4,тАж
We have,
a = 2 and r = 2тИЪ2/2 =тИЪ2
Taking the nth┬аtermof this sequence as 128, we have
Therefore, the 13th┬аtermof the given sequence is 128.
(ii) Given sequence,тИЪ3, 3, 3тИЪ3,тАж
We have,
a = тИЪ3 and r = 3/тИЪ3 =тИЪ3
Taking the nth┬аtermof this sequence to be 729, we have
Therefore, the 12th┬аtermof the given sequence is 729.
(iii) Given sequence,1/3, 1/9, 1/27, тАж
a = 1/3 and r =(1/9)/(1/3) = 1/3
Taking the nth┬аtermof this sequence to be 1/19683, we have
Therefore, the 9th┬аtermof the given sequence is 1/19683.