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
DIA [1.3K]
3 years ago
13

Find the 100th term of the following arithmetic sequence 5.5, 6, 6.5, 7, ...

Mathematics
2 answers:
AysviL [449]3 years ago
8 0

Answer:

  55

Step-by-step explanation:

The n-th term of an arithmetic sequence is given by the formula ...

  an = a1 + d(n -1)

where a1 is the first term (5.5) and d is the common difference (0.5).

So, the n-th term is ...

  an = 5.5 +0.5(n -1) = 5.0 +0.5n

For n = 100, the term is ...

  a100 = 5.0 +0.5(100) = 55

The 100th term of the sequence is 55.

riadik2000 [5.3K]3 years ago
5 0

Answer:

55.

Step-by-step explanation:

The explicit formula for the nth term is  a1 + d(n - 1).

Here d = 6 - 5.5 = 0.5 and a1 = 5.5.

So the 100th term = 5.5 + 0.5(100-1)

= 55.

You might be interested in
I'm doing math homework and the boy next to me asked what the mean to there numbers is, 22, 26, 28, 30, 39, 44, 62, and 63 what
AfilCa [17]
22+26+28+30+39+44+62+63= 314 Divide the answer by the amount of numbers =39.25
8 0
3 years ago
Read 2 more answers
Ise the terms 4, 12a, 6, 2a, and 24 to make equivalent expressions
Sedaia [141]

Answer:

12a + 24 = 6(2a + 4) is the equivalent expressions

Step-by-step explanation:

Given the terms ; 4, 12a, 6, 2a, and 24

There are two terms with unknown = 12a and 2a

but 12a = 2a x 6 .........(1)

from the last term = 24 = 6 x 4 ...........(2)

add both equation 1 and 2 = 12a + 24

12a + 24 = 6(2a + 4) is the equivalent expressions .

to VERIFY; Use a = 2

substitute into the expression ; LHS = RHS

= 12(2) + 24 = 24 + 24 = 48 (LHS)

FOR RHS = 6(2a+4) = 6(2x2 + 4)

= 6(4+4) = 48

Hence LHS = RHS

6 0
3 years ago
please help now it kinda important i get it done soon or i cant go to a dance for my school tomorrow. im begging u ill give u 5
harkovskaia [24]

Answer: 352496

Step-by-step explanation:

First, to find 20% of 440,620, you can multiply:

0.2 x 440,620 = 88,124

Then, to find the new weight of the ship, you can subtract the 20% that was just found (88,124) from the ship's original weight (440,620) to get:

440,620 - 88,124 = 352,496

Therefore, the ship's weight is now 352496.

I hope this helps!

6 0
2 years ago
What is the greatest common factor of 12 and 90?
dsp73
The answer is 6. Hopefully this helped!!
6 0
3 years ago
Can someone please help this is due at 9
likoan [24]

Answer:

70

Step-by-step explanation:

We have the final part 4x/40 = 7. We can simplify this to x/10 = 7 by dividing the numerator and the denominator by 4. We then multiply both sides by 10 to get x = 70

3 0
3 years ago
Other questions:
  • William only has 1 cups of flour, so he can only make
    12·1 answer
  • On the spinner, what is the probability of spinning a number greater than 2?
    5·1 answer
  • Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN? (0, 1) (0, 4) (1, 0) (4,
    10·1 answer
  • Pls help, it's 20 points<br><br> OA bisects measure of (a) 23<br> (b) 75<br> (c) 78.5<br> (d) 157
    13·1 answer
  • Factor: -12n-20 plz help me ;-;
    15·1 answer
  • Convert the following improper fraction into a mixed number : 52/7
    9·1 answer
  • Chloe's family ate dinner at a restaurant and the bill was $86. If sales tax was 7.5% and they tipped 20% of the original bill,
    5·1 answer
  • Find the total surface area of the following cone. Leave your answer in terms of Pi. 4cm 3cm
    8·1 answer
  • What is the slope and y-intercept -4x+2y=-2
    10·1 answer
  • How is the best foot baller​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!