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Find "5th" term in a geometric series
The series of number pattern was assumed to behave in geometric series pattern
Step 1. Enter 3 in box n3 Why? It is the third number in geometric series.
Step 2. Enter 2.93 the recorded value for third number
Step 3. Enter 6 in box n6
Step 4. Enter 5.28 the recorded value for the sixth number. Select Calculate
Step 5. Enter 5 in box nnth Why? Because you are asked to compute the expected value for the 5th term
Step 6. Now you can enter any integer number in box n nth to compute the expected value for any nth term
Step 7. Now play with the interactive graph shown below to predict the last term.
|
a =
r =
n3 =
L3 =
a =
|
nnth =
Lnth =
n6 =
L6 =
r =
|
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 = 1.979 ;
r = geometric ratio = 1.217
And n = number of series is represented by the x-axis
While L = last term value is represented by the y-axis.
As you move the graph, the last term value (y-axis) can be predicted
for every value of "nth" term (x-axis) same result as the above calculator.