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.
the probability of getting tails up is 30/50 or most likely
the probability of getting a blue marble is 18/5 or least likely
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Answer:
4.4 < 2.5 +x
She needs to crochet at least 1.9 more ft
Step-by-step explanation:
She wants the scarf to be at least 4.4 ft long
4.4< scarf
The scarf is 2.5 ft long now
She will crochet x more ft
4.4 < 2.5 +x
Subtract 2.5 from each side
4.4 -2.5 < 2.5+x-2.5
1.9 <x
She needs to crochet at least 1.9 more ft