SOLUTION: Hello, How can I find {{{a[1]}}} and d if {{{ a[4]=16 }}} and {{{ s[15]=420 }}} ? I am not sure which formula to use. Thanks so much.

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Question 944285: Hello,
How can I find and d if
and ?
I am not sure which formula to use.
Thanks so much.

Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
a[4]=16 and s[15]=420
-------------
Equations:
a(1) + 3d = 16
a(1) + 14d = 420
-----
Subtract and solve for "d"::
11d = 404
d = 404/11
-----
Solve for a(1)::
a(1) + 3(404/11) = 16
a(1) = 16 - 1212/11
a(1) = 176/11 - 1212/11
a(1) = -1036/11
==================
Cheers,
Stan H.
------------------

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Hello,
How can I find and d if
and ?
I am not sure which formula to use.
Thanks so much.
Use the "term" formula to create an equation in the 2 variables,  and 
Term formula:
Use the "sum of terms" formula to create an equation in the 2 variables, and
Sum of terms formula:
From the 2 equations just formed, solve for the 2 variables, and
You should get: 1st term, or
You should get: common difference, or
Then do a check!!
===================
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