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2 years ago

Please help me with thiss

Mathematics

1 answer:

olchik [2.2K]2 years ago

3 0

Answer:

gradient = 2

Step-by-step explanation:

Calculate the gradient (slope) m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = $\frac{10-0}{6-1}$ = $\frac{10}{5}$ = 2

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r-ruslan [8.4K]

Answer:

1.→n=15

2.→n=0

Step-by-step explanation:

The two expressions given are

⇒A number is said to be rational if it can be expressed in the form of , where ,q≠0.And it's decimal expansion will be either terminating or non terminating repeating.

We have to find smallest value of n, for which each of these two expressions will be rational.

So, 1.→n=15

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3 years ago

What is the 50th term of the arithmetic sequence 3, 7, 11, 15, ... ?

zysi [14]

Answer:

B. 199

Step-by-step explanation:

We are given an Arithmetic sequence : 3, 7, 11, 15, ...

We are supposed to find the 50th term .

So, first consider the formula of nth term in Arithmetic mean:

$a_{n} = a+(n-1)*d$

where

a is first term of sequence

n is term position

d is common difference

$a_{n}$ = the term you are supposed to find

Now,

a = 3 ( first term )

n = 50 th term ( given )

d = 7-3 = 11-7 = 4(common difference

Substitute these value in the formula given above

⇒ $a_{50} = 3+(50-1)*4$

⇒ $a_{50} = 3+(49)*4$

⇒ $a_{50} = 3+196$

⇒ $a_{50} = 199$

Hence ,The 50th term of given arithmetic sequence is 199

So, OPTION B is correct .

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3 years ago

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