Find the 30th term and the sum of the first 30 terms of the

Find the 30th term and the sum of the first 30 terms of the geometric sequence with the first term of .01 and a common ratio of 2.

a. 1048576, 1048576

b. 5368709, 10737418

c. 10737418, 21474836

d. 5368709, 53687090

Solution

Dear Student Thank you for using Chegg !! Given a geometric sequence with First term (a) = 0.01 Common ratio (\'r) = 2 nth term of a GP is given by an = ar^(n-1) a(30) = 0.01*2^(30-1) = 5368709.12 Sum of n terms of a GP is given by Sn = a(r^n-1) / (r-1) = 0.01*(2^30-1)/(2-1) = 10737418.23 Hence clethe correct solution is part b)