Given:
First term of an arithmetic sequence is 2.
Sum of first 15 terms = 292.5
To find:
The common difference.
Solution:
We have,
First term: 
Sum of first 15 terms: 
The formula of sum of first n terms of an AP 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)
Where, a is first term and d is common difference.
Putting , n=15 and a=2 in the above formula, we get
![292.5=\dfrac{15}{2}[2(2)+(15-1)d]](https://tex.z-dn.net/?f=292.5%3D%5Cdfrac%7B15%7D%7B2%7D%5B2%282%29%2B%2815-1%29d%5D)
![292.5=\dfrac{15}{2}[4+14d]](https://tex.z-dn.net/?f=292.5%3D%5Cdfrac%7B15%7D%7B2%7D%5B4%2B14d%5D)
![292.5=15[2+7d]](https://tex.z-dn.net/?f=292.5%3D15%5B2%2B7d%5D)
Divide both sides by 15.
Dividing both sides by 7, we get
Therefore, the common difference is 2.5.
I think the answer is <span>6.418 x 10^<span>3. Not sure if you're asking for the picture or the text...</span></span>
Answer:
Money raised($)= 6n-50
Step-by-step explanation:
they plan to sell the hats for $10. each hat $4 to make and they spend $50 for advertising.
If their are no number of hats
Cost = 50+4n
Money gotten from the n number of hats= 10(n)
If they are to make profit, the money gotten from the sales of hats should be bigger than the total cost
Money raised = money from sales- cost
Money raised= 10n -4n-50
Money raised($)= 6n-50
Answer:
-6m^4-m^3
Step-by-step explanation:
First you move the parenthesis then you group the like terms after you group the like terms you get 
which is adding the similar elements and after you add similar elements you get -6m^4-m^3. Srry if this makes no sense
Answer:what do u need help with?
Step-by-step explanation:
