19' 1622Q2: The nth term of the sequence2,2.....2nis (a)n2(b)n2(c) 5

Name: 19' 1622Q2: The nth term of the sequence2,2.....2nis (a)n2(b)n2(c) 5
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Description: 19' 1622Q2: The nth term of the sequence2,2.....2nis (a)n2(b)n2(c) 5

Here, we need to find the n-th term of the sequence 2, 12, 29, 216, ... ..... Idea: We will try to…

Answered: Q2: The nth term of the sequence 2, ; ,…

Math

Calculus

Q2: The nth term of the sequence 2, ; , 2 ...... 16 2n is (a) (b) * 2 2 (c) n3 n2 n2

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.4: Series And Their Notations

Problem 1SE: What is an nth partial sum?

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Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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9' 16
2
2
Q2: The nth term of the sequence
2,
2
.....
2n
is (a)
n2
(b)
n2
(c) 5

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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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