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Find the next two geometric terms 3/20, 1/5, 4/15,

Sagot :

Answer:

a_5 = 1,500

Step-by-step explanation:

1. Determine the given of the problem.  

       a_n – unknown sequence  

        a_1 – 3/20  

        r – ((3⁄2)/(3⁄20)) = 10  

        n – 5  

2. Substitute the given to the formula of the geometric sequence.  

           a_n = a_1 r^(n-1)

           a_5 = (3/20) (10)^(5-1)

3. Solve the given problem.  

           a_5 = (3/20) (10)^(5-1)       - Subtract the exponent.  

           a_5 = (3/20) (10)^(4)          - Multiply 1/10 to the exponent.  

           a_5 = (3/20)(10000)          - Multiply it.  

           a_5 = (30000/20)             - Divide it.  

           a_5 = 1,500                       - Answer of the problem.

the answer is 1500

correct me if you want