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
Alika [10]
3 years ago
13

Find a1 and d for an arithmetic sequence with these terms. a3=-8 and a7=32

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
4 0
We know that
the formula for the <span>arithmetic sequence is
</span><span>an = a1 + (n - 1)*d
where
a1  is the first term
n is the numbers of terms

for n=3   a3=-8
-8=a1+(3-1)*d-----> -8=a1+2*d-----> equation 1

for n=7   a7=32
-32=a1+(7-1)*d----> -32=a1+6*d----> equation 2

multiply equation 2 by -1-----> 32=-a1-6*d------> equation 3

add equation 1 and equation 3
</span>-8=a1+2*d
32=-a1-6*d
----------------
24=-4*d------> d=-6
-8=a1+2*(-6)    (substitute the value of d in equation 1)
-8=a1-12-----> a1=-8+12-----> a1=4

the answer is
a1=4
d=-6

<span>

</span>
You might be interested in
Simply 15 to the 18 power divide by 15 to the 3 power
andrew11 [14]
The property of exponents says that when you divide two exponents with the same base, you can keep the base and subtract the exponents. So you can do 18-3, which is 15, so it would be 15 to the 15th power
6 0
3 years ago
HELP ME QUICK PLEASEE!!
Lena [83]

Answer:

  A) is a function

  B) f(x) is greater

  C) x = 12

Step-by-step explanation:

A) Yes, the relation is a function.

A function has a unique input value for each output value. There are no repeated x-values, so this relation is a function.

__

B) The table says y=6 for x=6.

  f(6) = 2(6)+16 = 28

f(x) has a greater value for x=6.

__

C) Substituting the given information, we have ...

  40 = 2x +16

  24 = 2x

  12 = x

The value of x is 12 when f(x) is 40.

3 0
3 years ago
What number is represented by these base ten blocks
MAXImum [283]

Answer:

Base ten blocks can represent values such as 1, 10, 100, and 1000.


4 0
3 years ago
Evaluate: b ÷ a for a = 2 and b = 18
Jlenok [28]

Answer:

b/a=9, 9 is the answere

Step-by-step explanation:

i did it mentally lol

7 0
3 years ago
Read 2 more answers
Kyle wants to buy a new laptop that has an original price of $540. The store is having a sale, so the laptop is 10 percent off,
Damm [24]
A 38.88

Trust me it works
5 0
2 years ago
Read 2 more answers
Other questions:
  • (X-5)(x+6) greater than or equal to 0
    13·1 answer
  • The table showed price paid per concert ticket on a popular online auction site. What was the average price paid per ticket
    8·1 answer
  • The point P(x, y) is on the terminal ray of angle theta. If theta is between pi and 3pi/2 radians and csc theta equals -5/2 what
    7·1 answer
  • NEED HELP Solve.<br>y=2x-6<br>4x-2y=14<br>​
    9·1 answer
  • What two number adds to 10 but multiply to 16
    9·2 answers
  • What is the value of k ?
    10·1 answer
  • Which company has the highest charge per attendee?
    6·1 answer
  • What is the simplest from of this expression? (-3x^2 + 4x) + (2x^2 - x -11)
    13·1 answer
  • I will make you brainliest <br> solve this
    12·1 answer
  • Suppose that a classmate asked you why (2x + 112 is not (4x² + 1). What is your response to this classmate?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!