What is the sum of the first 4 terms of the arithmeticsequence in which the 6th term is 8 and the 10th term
is 13 ?
F. 10.5
G. 14.5
H. 18
J. 21.25
K. 39.5

Answers

Answer 1

Answer: $a_6=8;\ a_(10)=13\n\na_(10)-a_6=4r\n\n4r=13-8\n4r=5\ \ \ \ /:4\nr=1.25\n\na_1=a_6-5r\na_1=8-5\cdot1.25=8-6.25=1.75\n\nS_4=(2a_1+(4-1)r)/(2)\cdot4=(2a_1+3r)\cdot2=4a_1+6r\n\nS_4=4\cdot1.75+6\cdot1.25=7+7.5=14.5$

Answer 2

Answer:

Final answer:

The sum of the first 4 terms of the arithmetic sequence where the 6th term is 8 and the 10th term is 13 is 14.5.

Explanation:

In an arithmetic sequence, the difference between consecutive terms is constant. This difference is commonly called the common difference. Given that the 6th term is 8 and the 10th term is 13, we can calculate this common difference.

The common difference is (13 - 8) / (10 - 6) = 5 / 4 = 1.25.

The common difference is backward from the 6th term to the first term or we can say the 6th term minus 5 times the common difference will give us the first term. Therefore, the first term is 8 - 5*1.25 = 8 - 6.25 = 1.75.

The sum of the first 4 terms of an arithmetic sequence is given by the formula S = n/2 *[2a + (n-1)*d], where 'n' is the number of terms (in this case 4), 'a' is the first term, and 'd' is the common difference.

Therefore, substituting our known values into the formula gives us: S = 4/2 *[2*1.75 + (4-1)*1.25] = 2*[3.5 + 3.75] = 2*7.25 = 14.5

Learn more about Arithmetic Sequence here:

brainly.com/question/32830972

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I have 1/2-1/7 and3/5-1/2

Answers

$(1)/(2)-(1)/(7)=\ \ \ | make\ common \denominator\n\n(7)/(14)-(2)/(14)=(7-2)/(14)=(5)/(14)\n\n(3)/(5)-(1)/(2)= \ \ \ | make\ common \denominator\n\n (6)/(10)-(5)/(10)=(1)/(10)$

1/2 - 1/7 = 7/14 - 2/14 = 5/14
3/5 - 1/2 = 6/10 - 5/10 = 1/10

Find the value.A.
1

B.
2

C.
3

D.
0.5

Answers

The value would be A.1

Example:

In mathematics, a square root of a number a is a number y such that y2 = a, in other words, a number y whose square (the result of multiplying the number by itself, or y × y) is a. For example, 4 and −4 are square roots of 16 because 42 = (−4)2 = 16.

What is 8.525 rounded to the nearest tenth

Answers

the answer would be 9 because you have to see the number after the decimal point is bigger than 5 and if its 5 you add one to the number before the decimal

8.525 rounded to the nearest tenth is 8.500

ANSWER FAST PLZZZZZZZZZ

Answers

Answer:

x = 20

Step-by-step explanation:

Turn all the numbers into fractions with the same denominator.

$6.75 = (46)/(8)$

$13(1)/(4) = (53)/(4)$ × $(2)/(2) = (106)/(8)$

$(46)/(8) + (3)/(8)x = (106)/(8)$

Subtract 6.75 from both sides

$(3)/(8)x = (60)/(8)$

Then multiply both sides by 8

$3x = 60$

Then divide both sides by 3 to get x

$(3x)/(3) = (60)/(3)$

Here you go!!! Hope this helps!!!

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Answers

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I Need Help PLease!Ashton estimates the square root of 72 in the following way:
√72=
2√36=
2×6=12
Explain why his reasoning is incorrect.
Estimate the square root of 72 to the nearest tenth without using your calculator. Show your work.
Answer: