How do you find the 10th term in the geometric sequence 320, 160, 80, 40, ...?
1 Answer
Geometric progression
Explanation:
320 , 160 , 80 , 40 , .....
First of all, you've to find the first term of the sequence,a,
first term, a =320
Then, you've to find the common ratio of the sequence.So,divide the second term with the first term,
common ratio, r = 160/320
r = 1/2
Use the formula
#T_10 = 320[(1/2)^(9)]#
#T_10 = 5/8#