How many terms are in the geometric series 8+40+200++3,125,000

There are 9 terms in geometric series 8 + 40 + 200 + ... + 3,125,000

Need to determine how nay terms are there in following geometric series  

8 + 40 + 200 + ... + 3,125,000

Let’s derived basic properties of given geometric series which will be helpful in evaluating number of terms

Formula for nth term of geometric series is as follows

As last term is 3,125,000

On substituting value of and r is formula of nth term of geometric series we get

Since base that is 5 is same on both sides, so exponent will be equal

=>8 = n – 1

=> n = 8 + 1 = 9

=> n = 9

Hence there are 9 terms in geometric series  

5/12, or 5: 12

step-by-step explanation:

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