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
laila [671]
3 years ago
9

here are the first five terms of a quadratic sequence (1 8, 21, 40, 65). the nth term of this sequence can be written in the for

m (an2 + bn). where a and b are integers. work out the value of a and the value of b
Mathematics
1 answer:
bazaltina [42]3 years ago
5 0

Answer:

a=3 and b=-2

Step-by-step explanation:

We are given that five  terms of a quadratic sequence are

1 8, 21, 40, 65.

The nth term of this sequence

=an^2+bn

We have to find the value of a and b where a and b are integers.

For n=1

a+b=1   ......(1)

For n=2

(2)^2a+2b=8

4a+2b=8

2a+b=4   .....(2)

Subtract equation (1) from (2) we get

2a-a=4-1=3

a=3

Using the value of a=3 in equation (1)

3+b=1

b=1-3=-2

Hence, the value of

a=3 and b=-2

You might be interested in
Find X: <br> J:58<br> K:70<br> L:111<br> M:121
damaskus [11]

Answer: 111

Step-by-step explanation:

Angles in a quadrilateral add to 360 degrees, so:

121+58+70+x=360\\\\x=111

6 0
2 years ago
Read 2 more answers
On a hot, sunny day, a random selection of people in a small town were given a photo of a skating rink in a big city and asked t
tresset_1 [31]
It can't be timing or cost since it is only a few people , i chose bias because a few people is actually 7 - 8 people 

8 0
4 years ago
An experiment consists of tossing a coin and drawing a card, with the card- drawing stage dependent on the results of the coin t
Mnenie [13.5K]

Answer:

52 is the size of the sample space of this two-stage experiment

3 0
2 years ago
I WILL GIVE BRAINLIEST :)
Triss [41]

Answer: I got 50x+$75 but I’m not too sure for the last step

Step-by-step explanation:

7 0
2 years ago
Hi please help me with this i’ll give brainliest if you give a correct and show your work!
Tatiana [17]
1. (1.35)x(.42)

1.35
x. .42
________
270
5400
________
.5670

You need to have the total number of decimal places from the original two numbers. 1.35 has two decimal places and .42 has to decimal places you have a total of four decimal places, Which means 5670 is .5670

2. (.22)x(.04)

.22
x. .04
_______
88
00
_______
.0088

you need to have the total number of decimal places from the original Two numbers. So .22 is two decimal places and .04 is two decimal places, so you will need to have for decimal places. That means that the answer 88 needs to be translated into .0088
6 0
3 years ago
Other questions:
  • Determine whether the given lengths can be sides of a right triangle. Explain. 10 in., 24 in., 26 in.
    11·1 answer
  • A vehicle has travelled 90 miles at 40mph
    5·1 answer
  • Which of the following is the linear parent function?
    5·2 answers
  • How can the tiles be sorted? (I need it quick please)
    9·1 answer
  • Order the terms p2, p4, p3, and p in a descending powers of p
    6·1 answer
  • Travis lives 195 miles from Dallas. On a normal trip, it takes 180 minutes to drive from his house to Dallas. What is Travis' av
    15·1 answer
  • PLEASE HELP ME I HAVE NO CLUE WHAT THE ANSWER IS PLEASE HELPPP!!!!!!!!
    11·1 answer
  • HELP ASAP! Middle of quiz!
    15·1 answer
  • Tell whether the equation has one, zero, or infinitely many solutions.<br> 8(x-4) + 19 = 8x - 13
    8·1 answer
  • PLZ HELP!!!!!!! :((
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!