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Ray Of Light [21]
2 years ago
13

An arithmetic sequence has a first term of 10 and a common difference of 4.

Mathematics
1 answer:
finlep [7]2 years ago
7 0

The sum of 18 terms is 792.

<h3>What is an Arithmetic Sequence ?</h3>

An arithmetic sequence is defined as the sequence of numbers in which the difference between two consecutive terms is same.

First Term is 10

Common Difference = 4

The partial sum of the arithmetic sequence is given by

\rm S_n = \dfrac{n}{2}( 2a+(n-1)d)

Here a is the first term , d is the common difference

\rm S_n = \dfrac{18}{2}( 2*10+(18-1) * 4)

Therefore the sum of 18 terms is 792.

To know more about Arithmetic Sequence

brainly.com/question/15412619

#SPJ1

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Identify the indicated sum for the geometric series.<br> S7 for 162 − 54 + 18 − 6 + .....
Ulleksa [173]

The indicated sum for the geometric series is 121.5

<h3>How to identify the indicated sum for the geometric series?</h3>

The series is given as:

162 − 54 + 18 − 6 + .....

Start by calculating the common ratio of the geometric series.

This is calculated using

r = -54/162

Evaluate

r = -1/3

The indicated sum for the geometric series is then calculated as:

S = a(1 - r^n)/1 - r

Substitute the known values in the above equation

S = 162(1 - (-1/3)^7)/1 + 1/3

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S = 162(1 + 1/2187)/4/3

Evaluate the sum

S = 162(2188/2187)/4/3

Express as products

S = 162 * (2188/2187)* 3/4

Evaluate the product

S = 162 * 547/729

Evaluate the product

S = 121.5

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3 0
2 years ago
Paul plans to buy a movie that has a regular price of $19.99. It is on sale for 25% off, but Paul will have to pay 6% sales tax.
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Answer:

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Step-by-step explanation:

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4.9975~5.00

19.99- 5.00

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