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Talja [164]
3 years ago
5

What is the value of the fourth term in geometric sequence for which a1 = 15 and r = 1/3?

Mathematics
2 answers:
Naya [18.7K]3 years ago
7 0
So you express fraction. 
15 x (1/3)^ 3=15/27=5/9
NISA [10]3 years ago
3 0

Answer:

the fourth term is 5/9

Step-by-step explanation:

a sequence is defined like this:

1, 2, 3,4…….. n  

1= first term

2=second term

3= third term

n=term n of the secuence

a geometric sequence is defined as follows

a,ar,ar^{2} ,ar^{3} ,..............ar^{n-1}

The General formula to calculate the term n of a geometric sequence is:

                 term(n)=ar^{n-1}        Formula (1)

We can calculate any term of the sequence by replacing the information known in the formula (1):

For this case: a=a1=15 ,   r=1/3

               term(n)=15*(1/3)^{n-1}   Formula (2)

We replace n=4 in the formula 2  

            term(4)=15*(1/3)^{4-1} \\

term(4)=15*(1/3)^{3}

term(4)=15*(1/27)

term(4)=5/9

The fourth term of the geometric sequence is 5/9

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2 years ago
I have 4 times as many 10-cent stamps as 3-cent stamps. I have one less 2-cent stamp than 3 cent stamp. If I have b2-cent stamps
gogolik [260]

Answer:

Value of stamp collection = (45b + 43) cents

Step-by-step explanation:

What we have here is as follows;

if there are x 3-cent stamps, then there are 4x 10-cent stamps

So the number of 2-cent stamps is 1 less than 3 cent stamps and that will be x-1 2 cent stamps

Number of 2 cents stamps = b

This means that x-1 = b

Thus, x = b + 1

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Total value is thus;

2b + 40b + 40 + 3b + 3 = (45b + 43) cents

5 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is at most 80 inches. The length of the rectangle is 25 inches. The inequality 80-2w>50 can be u
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W is less than or equal to 15
5 0
3 years ago
Louis has already biked 17.7 miles this week. He can bike 6 miles in one hour. let the total biked be represented by d. let the
ad-work [718]

Answer:

77.7 miles.

Step-by-step explanation:

We have been given that Louis has already biked 17.7 miles this week. He can bike 6 miles in one hour. Let the total biked be represented by d and let the number of hours biking be represented by h. an equation that represents this scenario is: d=6h+17.7.

To find total number of miles Louis biked in 10 hours we will substitute 10 in place of h in our given equation.

d=6*h+17.7

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3 0
2 years ago
Explain how to find the slope of a line through two points on a table
prohojiy [21]

Answer:

you use slope formula m=y2-y1/x2-x1

m=21-11/5-3=15.8

Step-by-step explanation:

so the 3 points you have are (-1,-9) (3,11) (5,21)

so i'm going to choose (3,11) and (5,21) 3 is x1 11 is y1

                                                                5 is x2 11 is y2

m=y2-y1/x2-x1

m=21-11/5-3=15.8

good luck :)

hopefully, this helps

have a great day !!

5 0
3 years ago
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