The value of a₄ is -9
What is recursively defined sequence?
Recursively defined sequence is the sequence where every term is calculated by the use of the one or more previous term given.
In this given problem
a₁ = 5
given relation between term is [tex]a_{n+1}[/tex] = 2aₙ -7
using this relation
take n=1
a₂ = 2a₁-7 =(2*5)-7=3
then by taking n=2
a₃ = 2a₂-7 =(2*3)-7=-1
then taking n=3
a₄= 2a₃-7 =(2*(-1))-7= -9
so the final answer will be a₄ = -9
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