The sum of the first four terms of the given sequence which is aₙ = (aₙ ₋ ₁)² is gotten as; 278
How to solve arithmetic sequence?
We are given the arithmetic sequence as;
a₁ = 2
aₙ = (aₙ ₋ ₁)²
We already have the first term. Thus;
Second Term;
a₂ = (a₂ ₋ ₁)²
a₂ = 2² = 4
Third Term;
a₃ = 4²
a₃ = 16
Fourth Term;
a₄ = 16²
a₄ = 256
Thus;
Sum of first four terms is;
S₄ = 2 + 4 + 16 + 256
S₄ = 278
Read more about Arithmetic Sequence at; https://brainly.com/question/6561461
#SPJ2
