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
Mandarinka [93]
3 years ago
5

Find the sum of the first six terms of the sequence for which a2=0.7 and a3=0.49.

Mathematics
2 answers:
alina1380 [7]3 years ago
8 0
A1 = 0.91
a6 = -0.14
sum = (0.91+-0.14) /2
sum = 2.31
Sloan [31]3 years ago
3 0

Answer:  Sum of the first six terms is 2.31.

Step-by-step explanation:

Since we have given that

a_2=0.7\\\\and\\\\a_3=0.49

Since we know the formula for "Arithmetic Progression":

a_2=a+d=0.7\implies a=0.7-d\\\\a_3=a+2d=0.49

Now, solving the above two equations:

a+2d=0.49\\\\0.7-d+2d=0.49\\\\0.7+d=0.49\\\\d=0.49-0.70\\\\d=-0.21

So, when we put the value of d in the first equation, we get that

a=0.7-d\\\\a=0.7+0.21\\\\a=0.91

so, Sum of first six terms would be

S_6=\dfrac{6}{2}(2\times 0.91+(6-1)\times -0.21)\\\\S_6=3(1.82+5\times -0.21)\\\\S_6=3(1.82-1.05)\\\\S_6=2.31

Hence, Sum of the first six terms is 2.31.

You might be interested in
The equation of the line of best fit of a scatter plot is y = −5x − 2. What is the slope of the equation?
tatiyna

Answer:

-5

Step-by-step explanation:

Because y=Mx=b and m is the slope

4 0
2 years ago
Read 2 more answers
What is the same value as 32 tens
elixir [45]

320 has the same value as 32 tens.

5 0
3 years ago
Read 2 more answers
You and your friend collect 180 cans for a food drive. The ratio of cans you collected to cans your friend collected is 4 to 5.
marissa [1.9K]
Are you looking for the number of cans you and your friend each collected? If yes, here is the solution:

Let x be the number of cans.

4x + 5x = 180
        9x = 180
     9x/9 = 180/9 (divide both sides of the equation by 9)
          x = 20

Now, substitute the values:
4(20) + 5(20) = 180
       80 + 100 = 180
               180 = 180

Therefore, you collected 80 cans and your friend collected 100 cans.
6 0
3 years ago
What is meant mathematically when we say we have an "even" or "odd" function?
Klio2033 [76]
I a function is even the leading term will have an even exponent. If a function is odd than the leading terms exponent is odd.

an even function has a parabola looking graph, while an odd function has min and max graph

6 0
3 years ago
4 pairs of pants for 22.60. what is the unit rate?​
Alona [7]

Answer:

$5.65

Step-by-step explanation:

Divide 22.6 / 4.

5.65

Best of Luck!

8 0
2 years ago
Other questions:
  • A school did a survey among 100 students to find their sports preferences. The students were asked about their preferences for f
    5·1 answer
  • Hello can you please help me out on this question posted picture
    8·1 answer
  • Last Friday Tristan had $12 over the weekend she with you some money for babysit she now has $21 how much money did you receive
    15·2 answers
  • 13. Find a cubic function with the given zeros. 7, -3, 2
    7·1 answer
  • Willie won 125 lollipops playing hoops at
    5·1 answer
  • Find the slope of the line through each pair of points (-2,-1) and (8,-3)
    15·2 answers
  • What percent of 15y is 75?
    15·2 answers
  • HELP PLZ<3
    10·1 answer
  • I need the answer for these questions please my mom is at work and cannot help me
    13·1 answer
  • How do I solve #7? do i add all the angles together like a normal triangle and make it equal to 180?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!