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Find first term in a geometric series


Tutorial on geometric series progression


Instruction on how to use the calculator

Step 1. Enter 2 in box n2 Why? It is the second number in geometric series.

Step 2. Enter 0.3 decimal equivalent of 3/10 the recorded value for second number

Step 3. Enter 6 in box n6 Why? It is the six number in geometric series.

Step 4. Enter 1.51875 decimal equivalent of 243/160 the recorded value for the sixth number.

Then select the Solve button

Step 5. The answer is letter a = the first term of geometric series

Step 6. Now you can predict the last number at any position of the geometric series. How ? Enter any integer number in box n nth to compute the expected value of the Last term, L nth term
For example n nth = 9
L nth = 5.1258

Step 7. Total number of geometric series up to the last number term or last position is calculated automatically.


a =
r =

n2 =
L2 =
a = Answer, first term
nnth =
Lnth = Answer

n6 =
L6 =
r =
Total Population of geometric series nth = Answer

The Graph of Geometric Function y = a r n-1

Notice the equation is similar to the Last Term equation Ln = a r n-1
Here a = first term of the series = 0.20 ;
r = geometric ratio = 1.5
And n = number of series is represented by the x-axis
While L = last term value is represented by the y-axis.