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poizon [28]
2 years ago
5

Find the first 5 terms of the arithmetic sequence : a(1)=-3 , a(17)=-20

Mathematics
1 answer:
madreJ [45]2 years ago
5 0
The explicit formula for arithmetic sequence is:
an=a+(n-1)d
where:
a=first term
d=common difference 
given:
a3=22
a(17)=-20
substituting this in our equation we get:
22=a+(3-1)d
22=a+2d
a=22-2d........i

also:
-20=a+(17-1)d
-20=a+16d.....ii
but substituting i in ii we get:
-20=22-2d+16d
-20-22=14d
-42=14d
d=-3
but:
a=22-2d
a=22-2(-3)
a=28
thus the formula will be:
an=28-3(n-1)
thus the first term will be 28
the 2nd term will be:
a2=28-3(2-1)
a2=25

the 3rd term will be:
a3=28-3(3-1)
a3=28-6
a3=22

a4=28-3(4-1)
a4=28-9
a4=15

a5=28-3(5-1)
a5=28-3(4)
a5=28-12
a5=15

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Helen [10]

Answer:

$30.41

Step-by-step explanation:

To find the tax she paid take the total amount times the rate of tax

24.20x.05=1.21

Then add the tax to the amount she paid before tax was added and the tip

$1.21+$24.20+$5=$30.41

So she spent $30.41 at the restaurant

8 0
2 years ago
the following numarically ordered sequence has a mean of 17 and a median of 18 given the data values 7,a,12,15,17,b,20,22,24,25
olga_2 [115]

Answer:

a=9 b=18

Step by-step explanation:

First we will find b.

Because there is no 18 in this set and it's an even set of numbers, this would mean that 18 is not present in the set.

The only way for 18 to the be the mean is for b to equal 19. When calculating the average of 17 and 19 your average, or mean, is 18.

a has to be a number ranging  from 7-12.

Through trial and error, it can be found that the missing value of a is 9.

Hope this helps!

-MoCKEry

7 0
2 years ago
Draw lines to show much each person gets. write the answer. <br> 4 friends share 3 Orange equally
Masja [62]
Cut it in fourths which gives you twelve and each person gets three each
5 0
3 years ago
Gonzalo observa que el grifo del lavabo de un año después el goteo se produce una velocidad de una gota por segundo y cada gota
Sergio [31]

Answer:

La familia de Gonzalo ha despilfarrado 15,768 litros de agua.

Step-by-step explanation:

Dado que Gonzalo observa que el grifo del lavabo gotea luego de un año, y el goteo se produce una velocidad de una gota por segundo y cada gota contiene 0.5ml de agua, para determinar cuántos litros de agua ha despilfarrado la familia de Gonzalo desde que ellos se dieron cuenta de la avería se debe realizar el siguiente cálculo:

1 año = 365 dias x 24 horas x 60 minutos x 60 segundos

0.5 x 60 x 60 x 24 x 365 = X

30 x 60 x 24 x 365 = X

1800 x 24 x 365 = X

43,200 x 365 = X

15,768,000 = X

15,768,000 / 1000 = X

15,768 = X

Por lo tanto, la familia de Gonzalo ha despilfarrado 15,768 litros de agua.

5 0
2 years ago
Why is no one helping or answering ANY of my questions asked so far? :( I thought it said questions are normally answered with-i
vodka [1.7K]
Questions are USUALLY answered within 10 minutes.

Therefore, you're questions might be complicated, hard, or incomplete.

Actual people are answering these questions, so obviously the easier questions get answered first.
3 0
3 years ago
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