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Dominik [7]
2 years ago
6

10. The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term? ​

Mathematics
2 answers:
Tanya [424]2 years ago
5 0

Answer:

-13

Step-by-step explanation:

"Arithmetic sequence" is a big clue, because it means you add on the same amount every time the term number goes up by 1, then add on the same amount to the numbers in the sequence (the list of numbers) see image There are of course formulas to find these missing numbers, but also, crunch it out sometimes so that it makes sense. And when the numbers in the question get crazy you can fall back on the formulas.

9966 [12]2 years ago
4 0

a_{5}=a+4d=11\\a_{10}=a+9d=41

Solve the above equations,

a_{10}-a_{5}=41-11\\a+9d-a-4d=30\\5d=30\\d=6\\a=11-24=-13

First term is -13.

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I need help with an algebra assignment right away!
Georgia [21]

So remember that slope-intercept form is y = mx+b (m = slope, b = y-intercept) and standard form is ax+by = c. (a and b are coefficients and c is the constant)

Starting with the first question: 9x + 2y = 6

Firstly, subtract 9x on both sides: 2y = -9x + 6

Next, divide both sides by 2, and your equation will be y = -4.5x + 3

Now with the next equation: y - 3 = 4(x + 1)

Firstly, foil 4(x + 1): y - 3 = 4x + 4

Next, subtract y on both sides: -3 = 4x - y + 4

Next, subtract 4 on both sides, and your answer will be: -7 = 4x - y

Next equation: y + 7 = -2(x - 3)

Firstly, foil -2(x - 3): y + 7 = -2x + 6

Next, subtract 7 on both sides of the equation, and your answer will be: y = -2x - 1

Next: y - 5 = 3(x - 2) (part a)

Firstly, foil 3(x - 2): y - 5 = 3x - 6

Next, add 5 on both sides, and your equation is: y = 3x - 1

Next, y - 5 = 3(x - 2) (part b)

Firstly, foil 3(x - 2): y - 5 = 3x - 6

Next, subtract y on both sides of the equations: -5 = 3x - y - 6

Next, add 6 on both sides of the equation, and your answer will be: 1 = 3x - y

4 0
3 years ago
ANSWER ASAP!! WILL MARK BRAINLIEST!! Consider the following algebraic statements and determine the values of x for which each st
Levart [38]

Answer:

x>=0

Step-by-step explanation:

From the equation, we can see that x must be greater or equal to 0. This is true because every answer to an absolute value is positive or equal to 0. That is your answer.

5 0
3 years ago
Which value equivalent to (f•g)(10)?
Anna35 [415]

Answer:wha

Step-by-step explanation:

5 0
3 years ago
$186.00=
bogdanovich [222]
2 ten dollar bills, 1 one dollar bill.

20*8= 160
186- 160 = 26
26 - 5 = 21
4 0
3 years ago
Can someone help me with this please.
UkoKoshka [18]
This equals: x^3 + 5x^2 - 4x - 20
making the degree 3, the LC 1, and the y-int 20
hope this helps
6 0
2 years ago
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