Consider the sequence {a;}1 defined bya1 = 3, and ak+1 = ak + 10 for k > 1.Compute a7. Consider the sequence {ax}, defined byk=1aj = 1, and ak+12ak +1 for k >1.Compute a4.

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Description: Consider the sequence {a;}1 defined bya1 = 3, and ak+1 = ak + 10 for k > 1.Compute a7. Consider the sequence {ax}, defined byk=1aj = 1, and ak+12ak +1 for k >1.Compute a4.

Given a1=3 and ak+1=ak+10 , k≥1to finda7

Answered: Consider the sequence {ax} defined by…

Math

Advanced Math

Consider the sequence {ax} defined by a1 = 3, and ak+1 = ak + 10 for k 2 1. Compute a7.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.1: Sequences And Series

Problem 5ECP

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Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n • In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of n that ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 65. List the first four terms of the sequence. an=5.7n+0.275(n1)
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