SOLUTION: An arithmetic sequence has its 5th term equal to 22 and its 15th term equal to 62. Find a recursive formula and a formula for the nth term. Label which is which. a5 =22 and a15

Question 1075525: An arithmetic sequence has its 5th term equal to 22 and its 15th term equal to 62. Find a recursive formula and a formula for the nth term. Label which is which.
a5 =22 and a15 =62 but I don't know how to go on from that point..
Thanks so much for the help:)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
start with an=a1+(n-1)d
a5=a1+4d=22
a15=a1+14d=62
Therefore, subtracting
-10d=-40
d=4
a5=22=a1+16
a1=6
6,10,14,18,22,a10 is 42, a15 is 62.
an=6+(n-1)*4
RELATED QUESTIONS
1-An aritmetic sequence has its 5th term equal to 22 and its 15th term equal to 62.Find... (answered by reviewermath)

The arithmetc sequence has a common difference equal to 10 and its 6th term is equal to... (answered by fractalier)

An arithmetic sequence has a common difference equal to 10 and its 6th term is equal to... (answered by stanbon)

AN ARITHMETIC PROGRESION HAS A 8TH TERM OF 22 AND A 15TH TERM OF 62. FIND THE... (answered by Fombitz,Edwin McCravy)

An arithmetic sequence has a its 4 th term equal to61 and its 5 th term equal to 52 and... (answered by robertb)

Find both an explicit formula and recursive formula for the nth term for arithmetic... (answered by mathmate)

Find the 10th term of an arithmetic sequence whose 5th term is 1.25 and whose 15th term... (answered by ikleyn)

Find the 10th term of an arithmetic sequence whose 5th term is 1.25 and whose 15th term... (answered by Fombitz)