1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PIT_PIT [208]
3 years ago
8

Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d-6

Mathematics
1 answer:
kari74 [83]3 years ago
4 0

Answer: -209

Step-by-step explanation:

Formula for arithmetic progression

= a + (n - 1)d

Since a10 = 1 and d = -6

a10 = a + 9d

a + 9(-6) = 1

a - 54 = 1

a = 1 + 54

a = 55

Therefore, 45th term = a + (n - 1)d

= a + (45 - 1)d

= a + 44d

= 55 + 44(-6)

= 55 - 264

= -209

You might be interested in
What is the equation in math N+8=-10
sp2606 [1]

Your answer is...

N = -18

-18 + 8 = -10

4 0
3 years ago
Read 2 more answers
A timer is started and a few moments later a model airplane is launched from the ground. Its height (in feet) as a function of t
WITCHER [35]

The airplane reaches its maximum height of 81 feet in 12 seconds.

<h3>Behavior of curves</h3>

If y = x^{2}, it means that the second derivate is 2 which is positive, then there is a minimum turning point.

If y = - x^{2}, it means that the second derivative will be -2 which is negative, then there is a maximum turning point.

Analysis:

h(t) = -(t - 12)^{2} + 81

By expanding,

h(t) = -(t^{2} - 24t + 144) +81

h(t) = -t^{2} + 24t - 144 + 81

h(t) = -t^{2} + 24t - 63

at turning point d/dt(h(t)) = 0

d/dt (h(t)) = -2t +24

-2t +24 = 0

if we differentiate again, second derivative is -2 which is negative, so it is a maximum point.

2t = 24

t  = 12 seconds

h(t) at t = 12

h(t) = -(12)^{2} + 24(12) - 63 = 81 feet

In conclusion, the maximum height of the airplane after 12 seconds is 81 feet.

Learn more about minimum and maximum points: brainly.com/question/14993153

#SPJ1

7 0
1 year ago
Simplify<br><br> 21.75 <br><br> Thanks
tatyana61 [14]

Answer:

21 3/4

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Four times a number decreased by 6 is less than -2
Whitepunk [10]

Answer:

-5.5

Step-by-step explanation:

well lets make an equation first. 4x-6<-2 . Now we have to find what x equals.

And now we know that x<1

5 0
3 years ago
7a-3=3-2a(If there is no solution, type in "no solution") a= Answer
Ahat [919]

if my ans was helpful to u,plz mark my ans as brainliest ans and start following me..

8 0
3 years ago
Other questions:
  • I need help please!!
    7·1 answer
  • What is 15+12x-5x+4y-7 by combining like terms
    11·2 answers
  • How many cups of flour are needed to make 3 dozens of dinner rolls
    10·1 answer
  • Which of the following is not an exact number? the number of seconds in a year the number of millimeters in a kilometer the numb
    8·1 answer
  • Help me please please
    12·1 answer
  • David was in three javelin compition with a mean distance of 40.9.what is the total altogether
    9·1 answer
  • Need help in all asap plz
    6·1 answer
  • I need helppppppppp<br>​
    8·2 answers
  • How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?
    9·1 answer
  • (Please someone help me!) (No links!)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!