SOLUTION: Write the explicit formula for the arithmetic sequence where t underscore 7 =121 and t underscore 15 =193 .

Question 1036491: Write the explicit formula for the arithmetic sequence where t underscore 7 =121 and t underscore 15 =193 .

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Write the explicit formula for the arithmetic sequence where t underscore 7 =121 and t underscore 15 =193 .
------
t(7) = a + 6d = 121
t(15) = a + 14d = 193
-----------------------------
Subtract and solve for "d"::
8d = 72
d = 9
-----
Solve for "a"::
a + 6*9 = 121
a = 121- 54
a = 67
------------
Ans: t(n) = 67 + (n-1)*9 = 67 - 9 + 9n = 58 + 9n
-------------
Cheers,
Stan H.
RELATED QUESTIONS
Write an explicit rule for t(n) for the arithmetic sequence: 2, 5/3, 4/3, 1, 2/3,... (answered by ewatrrr)

Write an explicit formula for the Nth term of the arithmetic sequence... (answered by ikleyn)

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

Write an explicit formula for the nth term of each arithmetic sequence... (answered by stanbon)

Write�an�explicit�and�recursive�formula�for�the�sequence�4,�7,�10�� (answered by ikleyn,Fombitz)

Using the approximate values: log(underscore 5) (6)= 1.1 and log(underscore 5) (10) =... (answered by scott8148)

For an arithmetic sequence a₁₃ = 241 and common difference = 7. Determine the... (answered by Edwin McCravy)

write amn explicit formula for the following infinite sequence... (answered by jim_thompson5910)