The first five terms of the recursive sequence are 5, 12, 19, 26 and 33.
How to use recursive equations to generate a series
In this question we have a linear recursive equation that requires the value of the immediately previous element to generate the next one. Then, we need to evaluate the expression for the first five elements:
i = 1
a₁ = 5
i = 2
a₁ = 5, a₂ = a₁ + 7
a₂ = 5 + 7
a₂ = 12
i = 3
a₂ = 12, a₃ = a₂ + 7
a₃ = 12 + 7
a₃ = 19
i = 4
a₃ = 19, a₄ = a₃ + 7
a₄ = 19 + 7
a₄ = 26
i = 5
a₄ = 26, a₅ = a₄ + 7
a₅ = 26 + 7
a₅ = 33
The first five terms of the recursive sequence are 5, 12, 19, 26 and 33.
To learn more on recursive sequences: https://brainly.com/question/8972906
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