Find the 7th term of the geometric sequence
1/8, 1/2, 2, ...

512

Explanation:

Given sequence:

        1/8, 1/2, 2, ...

Unknown:

The 7th term of the geometric sequence  = ?

Solution:

To solve this problem, we apply the formula below;

       Sₙ   = arⁿ⁻¹

a is the first term

r is the common ratio

n is the nth term

  r  =    =   = 4

Input the parameters and solve;

      Sₙ  = x 4⁷⁻¹

     Sₙ   = x 4⁶  = 512

what is the speed of a softball that travels 20m in 2secs

speed = 20/2 = 10 m/s