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Use the formula for $S_{n}$ to determine the sum …

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62

Problem 29 Easy Difficulty

Use the formula for $S_{n}$ to determine the sum of the terms of each geometric sequence.
$$
\sum_{i=1}^{7} 4\left(\frac{2}{5}\right)^{i}
$$

Answer

Related Courses

Precalculus

Beginning and Intermediate Algebra

Chapter 14

Sequences and Series

Section 3

Geometric Sequences

Related Topics

Introduction to Sequences and Series

Introduction to Combinatorics and Probability

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Watch More Solved Questions in Chapter 14

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Problem 10

Problem 11

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Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

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Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

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Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

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Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Video Transcript

all right. So you want the some of this sequence? So first, let's figure out what ace of one is if we let I equal one when we get 10 times negative 2/5 which gives us negative or are is the negative to fits, and we're going from 1 to 4 so and equals four, so sm four. Then would equal negative or comes one minus negative. Two fits to the fourth power over one minus negative. Two. Fits on. Using your calculator that's going to give you negative. 348 over 125.

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Margaret L. Lial , John Hornsby

Beginning and Intermediate Algebra

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Related Topics

Introduction to Sequences and Series

Introduction to Combinatorics and Probability

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Additional Mathematics Questions

find-a-general-term-a_n-for-the-given-terms-of-each-sequence-8-16-24-32-dots

00:26

Find a general term $a_{n}$ for the given terms of each sequence.
$$
-…

evaluate-each-expression-see-examples-1-3-4

00:14

Evaluate each expression. See Examples $1-3$.
$$
4 !
$$

evaluate-the-number-of-terms-in-each-arithmetic-sequence-41-2-dots-32-2

01:51

Evaluate the number of terms in each arithmetic sequence.
$$
4,1,-2, \…

graph-the-function-as-a-solid-line-or-curve-and-then-graph-its-inverse-on-the-same-set-of-axes-as

01:58

Graph the function as a solid line (or curve) and then graph its inverse on …

concept-check-the-domain-of-fxax-is-infty-infty-while-the-range-is-0-infty

00:40

Concept Check The domain of $f(x)=a^{x}$ is $(-\infty, \infty),$ while the r…

$write-out-the-first-five-terms-of-each-sequence-a_nfrac1n2$

00:45

Write out the first five terms of each sequence.
$$
a_{n}=\frac{1}{n^{…

a-use-the-horizontal-line-test-to-determine-whether-the-function-is-one-to-one-b-if-the-functio

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(a) Use the horizontal line test to determine whether the function is one-to…

fill-in-the-blanks-when-we-write-60-as-2-cdot-2-cdot-3-cdot-5-we-say-that-we-have-written-60

00:37

Fill in the blanks.
When we write 60 as $2 \cdot 2 \cdot 3 \cdot 5,$ we s…

solve-each-equation-or-inequality-see-examples-7-and-8-4-x-1-leq-0

01:18

Solve each equation or inequality. See Examples 7 and $8 .$
$$
|4 x-1|…

$fill-in-the-blanks-a-write-2-frac1516-as-an-improper-fraction-b-write-frac4912-as$

02:48

Fill in the blanks.
a. Write $2 \frac{15}{16}$ as an improper fraction.<…

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