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
This is a table of values that follows a given rule or function. Each output comes from the input being applied to the rule.
sweet-ann [11.9K]

Answer:

Function Table

Step-by-step explanation:

5 0
3 years ago
Please answer!!!!!!!!!!!!!
Natalija [7]
I need help as well
6 0
3 years ago
Read 2 more answers
F(x) x^2-2x+3= -2x+ 28
Aleksandr-060686 [28]

Answer:

x₁ = - 5, x₂ = 5

Step-by-step explanation:

x^2 + 3 = 28

x^2 = 28 - 3

x^2 = 25

x = ± 5

x = - 5

x = 5

6 0
2 years ago
Factorise <br>a^2-4ab+5b^2-c^2+6bc​
Gennadij [26K]
There is no way this is a middle school question
3 0
3 years ago
Angle RST is a right angle. Angle RSU has a measure of 25°.
Angelina_Jolie [31]

Keywords

complementary angles, right angle

we know that

If two angles are <u>complementary angles</u>, then their sum is equal to a <u>right angle</u>

In this problem

Angle\ RSU+Angle\ TSU=90\° -------> by <u>complementary angles</u>

we have

Angle\ RSU=25\°

Substitute and solve for Angle TSU

Angle\ TSU=90\°-25\°=65\°

therefore

the answer is the option

65\°

5 0
3 years ago
Read 2 more answers
Other questions:
  • the function of f(x) =x is vertically transulated 1 unit up and then reflected across the y- axis. Whats the new function of g (
    6·1 answer
  • Helena makes an 8% commission on any artwork she sells. If she sells $125 worth of artwork, how much is her commission.
    15·1 answer
  • A builder needs three pipes of different lengths. The pipes are 6√96 feet long, 12√150 feet long, and 2√294 feet long. How many
    5·2 answers
  • I really need help on this!!!ASAP
    7·2 answers
  • What's the answer to 2+{8-2[32+5(1+2)]}
    15·1 answer
  • What does the line 2x-3y=7 look like
    15·2 answers
  • Can you please help me with number 1 please thank you
    13·2 answers
  • LINKS WILL be REPORTEd BRainly if correct
    5·2 answers
  • Help plz!!!!!!!!!!!!!!!!!!!!!!!
    14·2 answers
  • Pls help thank you:)​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!