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2 years ago

9

Can anyone help me with this? im timed :(

1 answer:

Andrew [12]2 years ago

6 0

Answer:

$Arithmetic$

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Write the slope -intercept form of the equation of the line passing through the point (3,5) and parallel to the line y=3x+6

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Answer:

y = 3x - 4

Step-by-step explanation:

y - 5 = 3 (x - 3)

y -5 = 3x - 9

y = 3x - 4

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2 years ago

The 17th term of an Arithmetic sequence is 51. If the commons difference is 7, what is the first term ?

vovikov84 [41]

Answer:

The first term is:

$a_1=-61$

Step-by-step explanation:

The arithmetic sequence is defined by

$a_n=a_1+\left(n-1\right)d$

where

$a_1$ is the first term

$d$ is the common difference

as

the 17th term of an arithmetic sequence is 51.

i.e. $a_{17}=51$

so

$a_n=a_1+\left(n-1\right)d$

$a_{17}=a_1+\left(17-1\right)d$

$51=a_1+\left(17-1\right)7$ ∵ $n = 17$ , $a_{17}=51$ , $d=7$

$a_1+112=51$ ∵ $\left(17-1\right)\cdot \:\:7=112$

$a_1=-61$

Therefore, the first term is:

$a_1=-61$

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2 years ago