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Romashka-Z-Leto [24]
3 years ago
14

An arithmetic sequence is defined by the general term tn = -5 + (n - 1)78, where n ∈N and n ≥ 1. What is the recursive formula o

f the sequence?
Pleeeeaaseee help
Mathematics
1 answer:
GrogVix [38]3 years ago
5 0

\text{The general term of an arithmetic sequence:}\ a_n=a_1+(n-1)d\\\\a_n-n-th\ term\\a_1-first\ term\\d-common\ difference\\\\\text{We have}\ t_n=-5+(n-1)78.\ \text{Therefore}\ t_1=-5\ \text{and}\ d=78\\\\\text{The recursive formula of the sequence:}\\\\\left\{\begin{array}{ccc}t_1=-5\\t_n=t_{n-1}+78\end{array}\right

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Which intersection forms a parabola?
NeTakaya

Answer

A plane intersects only one nappe of a double-napped cone, and the plane is not parallel to the generating line of the cone.

Step-by-step explanation:

Parabola is a symmetrical open plane bend framed by the crossing point of a cone with a plane parallel to its side. The way of a shot affected by gravity in a perfect world takes after a bend of this shape.

7 0
3 years ago
A pecan pie is being served for dessert. One piece of pie has an arc length of 7.85 in. It has been cut into 8 equal pieces. Wha
pishuonlain [190]

Answer: 10 inches.

Step-by-step explanation:

Since the pecan pie is a circle, you can use this formula:

arc\ length=r\theta

Where "r" is the radius and \theta is the central angle of the arc in radians.

If the pecan pie has been cut into 8 equal pieces then the central angle is:

\theta=\frac{2\pi}{8}\\\\\theta={\frac{\pi}{4}

Now you know the arc length and the central angle, then, you can solve for "r" from  arc\ length=r\theta:

 \frac{arc\ length}{\theta} =r

Substituting values, you get that the radius of the pecan pie rounded to the nearest whole number is:

r=\frac{7.85in}{\frac{\pi}{4}}\\\\r=10in

8 0
3 years ago
Write the slope intercept form of the equation of the line through the given points. (5,-1) and (-5,2)
Lelu [443]

Answer:

y=-\frac{3}{10} x+\frac{1}{2} or -\frac{3}{10}

Step-by-step explanation:

first use the y2-y1/x2-x1 formula then use y=mx+b after

plug in 2 for y2 and -1 for y1

plug in -5 for x2 and 5 for x1

\frac{2-(-1)}{-5-5}=

2+1=3

-5-5=-10

-\frac{3}{10} is ur slope

_____________________

this is the y=mx+b formula *extra info ig*

i usually use the first point for this but u can use watever point u want

plug in 5 for x

plug in -1 for y

and plug -3/10 for m

-1=-3/10(5)+b

-3/10*5=-3/2

-1=-3/2+b

add -3/2 on both sides

-1+3/2=1/2

1/2=b and b is ur y-intercept

y=-3/10x+1/2

hope this helps

7 0
3 years ago
Only number 6. ‍ ‍ ‍ ‍ ‍ ‍ ‍
djverab [1.8K]
The answer is 6, 4 divided by 2/3 =6
if you need to show your work just multiply by the reciprocal :)
6 0
3 years ago
There are 10 fish in the pond.Some of them swim away.There are 3 fish left.How many fish are left in the pond? Show all your thi
OleMash [197]

10

Just because the fish swam away doesn't mean they left the pond

4 0
3 years ago
Read 2 more answers
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