Question

14th term of geometric sequence 10,20,40

Answer 1

Answer: 81920


Explanation: The general formula for nth term in a geometric sequence is an=a1*r^(n-1), where a1 is the first term, r is the common ratio, and n is the position in the term (in this case 14).

To find the common ratio, we can simply divide the next term after the first (20/2=10).

So, an=10*2^(14-1).

After doing the parentheses and multiplication, we have 20^13, which is 81920.