SOLUTION: I need help to solve a problem and i didn't know at what section to put it so i put it here . In an arithmetic progression , a4=7 and a9=22 Find a14 Plase help me .

Question 1011903: I need help to solve a problem and i didn't know at what section to put it so i put it here .
In an arithmetic progression , a4=7 and a9=22
Find a14
Plase help me .
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In an arithmetic progression , a4=7 and a9=22
a(1) + 3d = 7
a(1) + 8d = 22
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Subtract and solve for "d"::
5d = 15
d = 3
-----
Solve for "a(1)"::
a(1) + 3*3 = 7
a(1) = -2
====================
Find a14 = a(1) = 13*d
a(14) = -2 + 13*3
a(14) = 37
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Cheers,
Stan H.
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