3 years ago

Determine the slope of the line passing through the given points (1,2) and (2,-1)

Mathematics

2 answers:

Semmy [17]3 years ago

8 0

The slope is 2, rise over run, 2 over 1

alex41 [277]3 years ago

3 0

I hope this helps you

slope=y2-y1/x2-x1

slope=2-(-1)/1-2

slope=3/-1

slope= -3

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Answer:

105th term of given series is

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Step-by-step explanation:

Given series is

$\dfrac{1}{2},\ 1,\ \dfrac{3}{2},\ 2,\ \dfrac{5}{2}.....$

As we can see,

$\textrm{First term},a_1=\dfrac{1}{2}$

Also,

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hence, we can say given series is in arithmetic progression,

with common difference,

$d=\ \dfrac{1}{2}$

As given in question the nth term in A.P is given by

$a_n=a_1+(n-1)d$

since we have to find the 105th term, so we can write

$a_{105}=\dfrac{1}{2}+(105-1)\dfrac{1}{2}$

$=\dfrac{1}{2}+\dfrac{104}{2}$

$=\dfrac{105}{2}$

Hence, the 105th term of given series of A.P is $\dfrac{105}{2}$ .

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