Given:
The first two terms in an arithmetic progression are -2 and 5.
The last term in the progression is the only number in the progression that is greater than 200.
To find:
The sum of all the terms in the progression.
Solution:
We have,
First term : 
Common difference : 
nth term of an A.P. is
where, a is first term and d is common difference.
According to the equation, 
.
Divide both sides by 7.
Add 1 on both sides.
So, least possible integer value is 30. It means, A.P. has 30 term.
Sum of n terms of an A.P. is
![S_n=\dfrac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Substituting n=30, a=-2 and d=7, we get
![S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7]](https://tex.z-dn.net/?f=S_%7B30%7D%3D%5Cdfrac%7B30%7D%7B2%7D%5B2%28-2%29%2B%2830-1%297%5D)
![S_{30}=15[-4+(29)7]](https://tex.z-dn.net/?f=S_%7B30%7D%3D15%5B-4%2B%2829%297%5D)
![S_{30}=15[-4+203]](https://tex.z-dn.net/?f=S_%7B30%7D%3D15%5B-4%2B203%5D)
Therefore, the sum of all the terms in the progression is 2985.
Answer:
40 degrees
Step-by-step explanation:
We know the entire angle of ABD is 70 and CBD and ABC are in it.
Since we know one of them (CBD) is 30, we can subtract 30 from 70 to find ABC. This is because the angle of ABC and CBD equal ABD.
30 + x = 70
-30 from both sides
x = 40
Answer:
it would take 10 hours
Step-by-step explanation:
Answer:
show how you know .. :D good rhyme
Step-by-step explanation:
park = 4" x 6" ( inches) small park
but one inch = 30 miles ooh big park
4*30 X 6*30
120 X 180 miles... like a big game range? :? very big
since we only have 6 square inches to fit the map into... then.. what size of map would fit? what size equals 6 inches? 2 x 3 ? hmm yes that's 6
soooo shrink the 4" x 6" to 2"x 3" so the scale needs to double or
1 inch = 60 miles
2"*60 x 3"*60 = 120 x 180 miles.. looks good try that :)
Answer:
The repeating decimal cost
a) As a fraction = $
b) As a mixed number = $ 
Step-by-step explanation:
The cost of making a computer component
= $3.161616
= $ 3 + 0.161616
Looking at the repeating decimal it is in 6 decimal places, hence to convert it to a fraction,
0.161616/ 1000000 × 1000000
= 161616/1000000
Therefore, the cost of making the computer component =
$3 + $161616/1000000
Step 1
We convert to a fraction
$3 + $161616/1000000
We find the LCM = 1000000
($3 × 1000000)+ ($161616× 1)/1000000
3000000 + 161616/1000000
= $ (3161616/1000000)
As a Mixed number =
