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Nata [24]
3 years ago
9

For a given arithmetic sequence, the first term, 47, is equal to 26, and the 37 th term, a37, is equal to 278. th Find the value

of the 4th term, a4.​
Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

9514 1404 393

Answer:

  47

Step-by-step explanation:

<u>Given</u>:

  a1 = 26, a37 = 278

<u>Find</u>:

  a4

<u>Solution</u>:

Filling in the given values in the formula for the general term of an arithmetic sequence, we have ...

  an = a1 +d(n -1)

  a37 = 26 +d(37 -1) = 278

  d = (278 -26)/36 = 7 . . . . . . solve for d

Then the 4th term is ...

  a4 = 26 +7(4 -1)

  a4 = 47

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Answer:

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Step-by-step explanation:

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4 0
4 years ago
Tell how many solutions each equation has. If it has one solution, solve to find it.
ycow [4]
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4 0
3 years ago
Which expression uses the commutative property to make it easier to evaluate
Basile [38]

Let's begin by listing out the given information:

The commutative property states that for addition, the order in which we add numbers does not change their sum & for multiplication, the order in which we multiply does not change their product.

Mathematically expressed as:

\begin{gathered} x+y+z=y+z+x \\ x\cdot y\cdot z=y\cdot z\cdot x \end{gathered}

Therefore, the commutative property of this is:

\begin{gathered} \frac{4}{3}\cdot\frac{1}{5}\cdot18=\frac{4}{3}\cdot18\cdot\frac{1}{5} \\ \Rightarrow\frac{4}{3}\cdot18\cdot\frac{1}{5} \\  \end{gathered}

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7 0
2 years ago
Please no links and i need this to be right please
Nataly_w [17]

Answer:

Part A: 6x + 20

Part B: Expression G and H are not equivalent for any value of x.

Step-by-step explanation:

Part A:

G = 2(3x + 10)

G = 6x + 20

Part B:

6x + 20  = 6x + 12

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3 years ago
Brainliest and 5 stars !!!!
natka813 [3]
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