SOLUTION: What is the nth term for the following sequence please: 250, 280, 310, 340 and 370. Also other than actually working it out logically and time consumingly, what is the 10th ter

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Question 1035975: What is the nth term for the following sequence please: 250, 280, 310, 340 and 370.
Also other than actually working it out logically and time consumingly, what is the 10th term of the above sequence, thank you very muchl.

Found 2 solutions by FrankM, MathTherapy:
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
a%5Bn%5D=a%5B1%5D%2Bd%28n-1%29
Look at this carefully, it's the secret to solving arithmatic sequence equations. It simply states that the nth term is the first term plus n-1 times the difference between terms. Why n-1? Because for the first term, you don't add any difference. And for the second term you add just one, etc.
For your problem.
a%5B10%5D=250%2B30%2810-1%29
a%5B10%5D=250%2B270
a%5B10%5D=520
not time consuming.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

What is the nth term for the following sequence please: 250, 280, 310, 340 and 370.
Also other than actually working it out logically and time consumingly, what is the 10th term of the above sequence, thank you very muchl.
This is an AP, and the formula for a term in an AP = a%5Bn%5D+=+a%5B1%5D+%2B+%28n+-1%29d, where:
a%5Bn%5D = A specific term, or term "n"
a%5B1%5D = 1st term in the series
n = the sequence Number
d = The common Difference, or the difference between terms
In this case, a%5Bn%5D+=+a%5B1%5D+%2B+%28n+-+1%29d becomes: a%5Bn%5D+=+250+%2B+%28n+-+1%2930 =======> a%5Bn%5D+=+250+%2B+30n+-+30
nth term, or a%5Bn%5D+=+220+%2B+30n
a%5B10%5D+=+220+%2B+30%2810%29 ------ Substituting 10 for n
10th term, or highlight_green%28a%5B10%5D+=+520%29