Astatement sn about the positive integers is given. write statements s1, s2, and s3, and show that each of these statements is true. show your work. sn: 2 + 5 + 8 + . . + ( 3n - 1) = n(1 + 3n)/2

S1: 2

S2:7

S3: 15

Step-by-step explanation:

Sn: 2 + 5 + 8 + . . . + ( 3n - 1) = n(1 + 3n)/2

S1: Put n = 1

S2: Put n = 2

S3: Put n = 3

\frac{n (1 + 3n)}{2}\\= \frac{3 (1 + 3(3))}{2}\\= \frac{3 (1 + 9)}{2}\\= \frac{3 (10)}{2}\\= \frac{30}{2}\\= 15[/tex]

How these are true:

S1: 2

S2: 2+ 5 = 7 (Sum of first two terms

S3: 2+5+8 = 15 (Sum of first three terms)

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

related questions

plz yuo

step-by-step explanation: