MediumCounting & chance

OpenStax, Algebra and Trigonometry 2e §13.1 Sequences and Their Notations · Exercise 63 · Probability · Counting & chance

Sequences and Their Notations · Exercise 63

Follow these steps to evaluate a sequence defined recursively using a graphing calculator:

• On the home screen, key in the value for the initial term $a_{1}$ and press [ENTER].
• Enter the recursive formula by keying in all numerical values given in the formula, along with the key strokes [2ND] ANS for the previous term $a_{n - 1} .$ Press [ENTER].
• Continue pressing [ENTER] to calculate the values for each successive term.

Use the steps above to find the indicated term or terms for the sequence.

Find the first five terms of the sequence $a_{1} = 2$ , $a_{n} = 2^{[(a_{n} - 1) - 1]} + 1.$

~8 minWritten answer · compare with the solution

OpenStax, Algebra and Trigonometry 2e · §13.1 Sequences and Their Notations · Exercise 63

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