Mathematics: Calculate s5 for the sequence defined by

Calculate s5 for the sequence defined by - id5290951, dhernandez081

Ответ:

dinecree

10.03.2022

Mathematics

ANSWER

EXPLANATION

The general term of the arithmetic sequence is

$a_n=1+\frac{5}{2}n$

For the first term,we substitute n=1

to get,

$a_1=1+\frac{5}{2}\times 1$

a_1=1+2.5=3.5

Similarly

$a_5=1+\frac{5}{2}\times 5$

a_5=13.5

The sum of the first n-terms is given by the formula,

$S_n=\frac{n}{2}(a_1+l)$

where l is the last term.
In this case

l=a_5=13.5

We substitute these values to get,

$S_5= \frac{5}{2} (3.5 + 13.5)$

$S_5= \frac{5}{2} (17)$
S_5=42.5

We could have also used the formula,

$S_n=\frac{n}{2}(2a_1+(n-1)d)$

$S_5=\frac{5}{2}(2(3.5)+(5-1)2.5)$

S_5=42.5

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Ответ:

squiddddplop

16.08.2020

Mathematics

Option B

Step-by-step explanation:

Because if you start with one dollar and by day 3 you get 301 dollars and option A only gives you 8 cents on day 3 you get more money by the end of the month if you choose option B.

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Calculate s5 for the sequence defined by

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