The value of the fourth element of the series is 13.
How to determine the value of an element of the series by using recurrence formulas
In this problem we must use a recurrence formula and a initial value to derive the fourth element of the series. Recurrence formulas are expressions that calculate succesive elements of a series in terms of its previous elements.
Now we proceed to find the value of the fourth element of the series:
n = 2
a₂ = a₁ + 1
a₂ = 10 + 1
a₂ = 11
n = 3
a₃ = a₂ + 1
a₃ = 11 + 1
a₃ = 12
n = 4
a₄ = a₃ + 1
a₄ = 12 + 1
a₄ = 13
The value of the fourth element of the series is 13.
To learn more on recurrence formulas: https://brainly.com/question/13391306
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