Question

Given a term in the sequence and the common ratio find the first term:

Please show work!! ASAP!! I’m desperate

Answer 1

Answer: 4

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Step-by-step explanation:

`g_3 = 6.25` tells us that the third term is 6.25

The common ratio r = 5/4 = 1.25 tells us how to get the next term. We multiply the third term by 1.25 to get the next term

4th term = (3rd term)*(r) = (6.25)*(1.25) = 7.8125

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To go backwards and find the second term, we will divide by r, which is the inverse operation of multiplication.

2nd term = (3rd term)/r = (6.25)/(1.25) = 5

Use the same idea to find the 1st term

1st term = (2nd term)/r = 5/(1.25) = 4 is the final answer