Question

Find the 10th term of the geometric sequence whose common ratio is 2/3 and whose first term is 3.

Answer 1

`(512)/(6561)`

Explanation:

1) if according to the condition a₁=3 and r=2/3, then a₁₀ can be calculated as:

a₁₀=a₁*r⁹;

2) according to the rule above:

a₁₀=3*(2/3)⁹=512*3/(6561*3)=512/6561.