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which spreadsheet would be used to compute the first 7 terms of the geometric sequence an=20*(1/2)^n-1

which spreadsheet would be used to compute the first 7 terms of the geometric sequence-example-1
User Dwoodard
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2 Answers

3 votes
The appropriate spreadsheet is the one that makes use of the proper formula and appropriate cell references.
which spreadsheet would be used to compute the first 7 terms of the geometric sequence-example-1
User Peter Kim
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6 votes

Answer:

Option 4

Explanation:

Given : Geometric sequence
a_n=20* ((1)/(2))^(n-1)

To find : Which spreadsheet would be used to compute the first 7 terms of the geometric sequence ?

Solution :

Geometric sequence is in the form
a+ar+ar^2+ar^3+...

Where, a is the first term and r is the common ratio.

The sum of sequence is represented as
S_n=\sum^(7)_(n=0) ar^n

or
S_n=\sum^(7)_(n=1) ar^(n-1)

According to question,

a=20 and
r=(1)/(2)

Sum of first terms is,


S_1=20((1)/(2))^(n_1-1) ,
n_1=1

Sum of second terms is,


S_2=20((1)/(2))^(n_2-1) ,
n_2=2

Sum of third terms is,


S_3=20((1)/(2))^(n_3-1) ,
n_3=3

Sum of four terms is,


S_4=20((1)/(2))^(n_4-1) ,
n_4=4

Sum of five terms is,


S_5=20((1)/(2))^(n_5-1) ,
n_5=5

Sum of six terms is,


S_6=20((1)/(2))^(n_6-1) ,
n_6=6

Sum of seven terms is,


S_7=20((1)/(2))^(n_7-1) ,
n_7=7

Therefore, Option 4 is correct.

The spreadsheet 4 would be used to compute the first 7 terms of the geometric sequence.

User Doug Smith
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