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