All categories

2 years ago

Find the 76th term on the arithmetic sequence 4, 7, 10, 13

Mathematics

1 answer:

sveta [45]2 years ago

7 0

Answer:

229

Step-by-step explanation:

1) the difference of the sequence is:

d=7-4=10-7=13-10=3.

2) the common view of the formula of the n term is:

a(n)=a(1)+d*(n-1), where n - required number of the term (it is 76), d- the calculated difference, a(1) - the 1st term of the given sequence.

3) according to the formula above it is possible to substitute n=76, d=3 and 4, then:

a(76)=4+3*(76-1)=4+225=229.

You might be interested in

Please Help!!! Due today.

Marianna [84]

Answer:

well can I see the choices?

8 0

2 years ago

What is the quotient 2y^-6y-20/4y+12 ÷ y+5y+6/3y^2+28y+27

malfutka [58]

Answer with explanation:

$\rightarrow \frac{\frac{2y^2-6 y-20}{4 y+12}}{\frac{y^2+5 y+6}{3 y^2+28 y+27}}\\\\\rightarrow \frac{\frac{y^2-3y-10}{2 y+6}}{\frac{(y+2)(y+3)}{3 y^2+28 y+27}}\\\\\rightarrow \frac{\frac{(y-5)(y+2)}{2 (y+3)}}{\frac{(y+2)(y+3)}{3 y^2+28 y+27}}\\\\\rightarrow \frac{(y-5)(y+2)}{2 (y+3)}} \times {\frac{3 y^2+28 y+27}{(y+2)(y+3)}}\\\\ \rightarrow\frac{(y-5)\times(3 y^2+28 y+27)}{2 (y+3)^2}}$

→y²+5y+6

=y²+3 y+2 y+6

=y×(y+3)+2×(y+3)

=(y+2)(y+3)

→y² -3 y-10

=y² -5 y+2 y -10

=y×(y-5)+2×(y-5)

=(y+2)(y-5)

6 0

3 years ago

Read 2 more answers

Which of the following is the equation of a line perpendicular to the line 7= –3/2 x + 4

frosja888 [35]

Answer:

Option c is correct !!

Step-by-step explanation:

[ Refer to the attachment ]

As y = mx + c is an equation to represent the straight line ; we equate the given line with this equation !!

Where m is slope of the line

and c is y intercept !!

We get , m = -3/2 and c = 4

Also, two perpendicular lines follows the equation :-

$(m1)(m2) = - 1$

Where m nth is slope of nth line !!

8 0

2 years ago

What is the value of b? −7.5(x−3)=3.75 X = ???

son4ous [18]

There isn't a b variable in this equation, but x = 2.5. (:

7 0

2 years ago

2x+3y=12 find four solutions

solong [7]

Answer:

1. x=3,y=2

2.x=0,y=4

3.x=-3,y=6

4.x=6,y=0

Step-by-step explanation:

x=3, y=2

2(3)+3(2)=6+6=12

x=0, y=4

2(0)+3(4)=0+12=12

x=-3, y=6

2(-3)+3(6)=-6+18=12

x=6,y=0

2(6)+3(0)=12+0=12. Hope this helps!

5 0

3 years ago