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lesantik [10]
3 years ago
5

Consider the arithmetic sequence 3,8,13,18 find S15

Mathematics
1 answer:
lora16 [44]3 years ago
3 0

Answer:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding  

5

to the previous term in the sequence gives the next term. In other words,  

a

n

=

a

1

+

d

(

n

−

1

)

.

Arithmetic Sequence:  

d

=

5

This is the formula of an arithmetic sequence.

a

n

=

a

1

+

d

(

n

−

1

)

Substitute in the values of  

a

1

=

3

and  

d

=

5

.

a

n

=

3

+

(

5

)

(

n

−

1

)

Simplify each term.

Tap for more steps...

a

n

=

3

+

5

n

−

5

 

Subtract  

5

from  

3

.

a

n

=

5

n

−

2

Step-by-step explanation:

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A second number is 6 less than a first number. A third number is twice the first number. If the sum of three number is 306, find
Serga [27]

Answer:

first number = 78

second number = 72

third number = 156

Step-by-step explanation:

first number = a

second number = b

third number = c

we have

b=a-6   equation 1

c=2a     equation 2

a+b+c=306    equation 3

using equation 1 and equation 2 in equation 3 we have

a+a-6+2a=306

4a=306+6

4a=312

a=312/4

a=78= first number

b=78-6=72=second number

c=2*(78)=156 third number

3 0
3 years ago
Order these numbers from least to greatest. 4811 , 4.626 , 5.63 , 9320
scoundrel [369]
4.626,5.63,4811,9320.........
8 0
3 years ago
What is the y-intercept of the function f(x)=4 - 5x? (Hint: use the commutative property)
Tom [10]

Answer:

Therefore the y-intercept of the function is 4.

Step-by-step explanation:

Intercepts:

The line which intersect on x-axis and y-axis are called intercepts.

y-intercept: The line or function which intersect at y-axis. So when the line intersect at y-axis, X coordinate is zero.

So in the given Function Put x = 0 we will get the y-intercept

f(x)= 4-5x

Put x =0

f(0)= 4-5\times 0

f(0)= 4-0=4

Therefore the y-intercept of the function is 4.

7 0
3 years ago
Identify the rule for fg when f(x) = –3x – 6 and g(x) = x2 – x – 6.
stellarik [79]

Answer:

f(g) = -3( x^2 -x-6) -6 = -3x^2+3x+12

4 0
3 years ago
Given the data presented in the bar graph, which age group represents 25% of the people at the family reunion? A) 10−19 B) 20−29
Dmitriy789 [7]

Answer:

B

Step-by-step explanation:

First you find the amount of people at the reunion which was 80. Then you find 25% of 80. 25% of 80 is 20. The only age group with 20 people is the 20-29 year olds.

4 0
2 years ago
Read 2 more answers
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