Question

Find the 4th term in the sequence
with the following definition:
a1 = 2
an = (an-1)2

Answer 1

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

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Answer 2

Answer:

a1=2 an-(an-1)2 = 256

Step-by-step explanation: