What is the 100th term in the pattern with the formula n+7

1 answer:

8 0

To find it, put 100 where n is in the formula and evaluate
.. n + 7
for n = 100
.. 100 +7
.. = 107

The 100th term is 107.

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if the coordinates of point a are (-3, 2) and the coordinates of point b are (7, 6), the x-intercept of

Nezavi [6.7K]

Find the equation of the line

slope=(y2-y1)/(x2-x1)
slope=(6-2)/(7-(-3))=4/10=2/5

slope is 2/5
y=mx+b
y=2/5x+b find b
input a point
6=2/5(7)+b
6=14/5+b
minus 14/5 from both sides
3 and 1/5=b
16/5=b
xintercept is when y=0
0=2/5x+16/5
minus 16/5 from both sides
-16/5=2/5x
times both sides by 5/2 to clear fraction
-8=x

xintercept is -8 or (-8,0)

8 0

2 years ago

Pls help me with this problem

NeTakaya

It should be answer b.

3 0

1 year ago

Find the 10th partial sum of the arithmetic sequence defined by

Evgesh-ka [11]

Answer:

22.5

Step-by-step explanation:

If you expand the series, you can see the first few terms of the series:

Putting 1 in $n$ , $\frac{1}{2}(1)-\frac{1}{2}=0$
Putting 2 in $n$ , $\frac{1}{2}(2)-\frac{1}{2}=0.5$
Putting 3 in $n$ , $\frac{1}{2}(3)-\frac{1}{2}=1$
Putting 4 in $n$ , $\frac{1}{2}(4)-\frac{1}{2}=1.5$

We can see the series is 0, 0.5, 1, 1.5, ....

This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.

We know formula for sum of arithmetic series:

$s_{n}=\frac{n}{2}(2a+(n-1)d)$

Where,

$S_{n}$ denotes the nth partial sum
$a$ is the first term (in our case it is 0)
$n$ is the term (in our case it is 10 since we want to find 10th partial sum -- sum until first 10 terms)
$d$ is the common difference (difference in term and the previous term) (in our case it is 0.5)