The sequence is defined recursively. Compute the first five terms a₁ = 0; an = 2an-1, n ≥ 2 a₁ = a2 a3 a4 = || || || || a5 = a6 = 0 1 2 4 16 32 X

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

Not sure why but my answer for a^6 is marked incorrect. Please help me with the correct answer.

The sequence is defined recursively. Compute the first five terms in the sequence.

\[ a_1 = 0; \, a_n = 2^{a_{n-1}}, \, n \geq 2 \]

- \( a_1 = 0 \) ✓
- \( a_2 = 1 \) ✓
- \( a_3 = 2 \) ✓
- \( a_4 = 4 \) ✓
- \( a_5 = 16 \) ✓
- \( a_6 = 32 \) ✗

The task involves correctly calculating the first five terms using the recursive formula provided. Each correct term has been marked with a check, while the sixth term shows an error mark, indicating a miscalculation or that it wasn't part of the required task.
Transcribed Image Text:The sequence is defined recursively. Compute the first five terms in the sequence. \[ a_1 = 0; \, a_n = 2^{a_{n-1}}, \, n \geq 2 \] - \( a_1 = 0 \) ✓ - \( a_2 = 1 \) ✓ - \( a_3 = 2 \) ✓ - \( a_4 = 4 \) ✓ - \( a_5 = 16 \) ✓ - \( a_6 = 32 \) ✗ The task involves correctly calculating the first five terms using the recursive formula provided. Each correct term has been marked with a check, while the sixth term shows an error mark, indicating a miscalculation or that it wasn't part of the required task.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning