# arithmetic

The 9th term of an A.p is 32 while the12th termis70.find the sum of it 20th term

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1. "The 9th term of an A.p is 32" ---> a + 8d = 32
"the12th termis70" ----> a + 11d = 70

subract them: 3d = 38
d = 38/3

then in first : a + 304/3 = 32
a = -208/3

term(20) = a + 19d = -208/3 + 19(38/3) = 514/3

You said " find the sum of it 20th term"
That makes no sense.
Do you want the 20th term, which I found for you
or
Do you want the sum of the first 20 terms.

I will let you do the arithmetic for you ...

sum(20) = 10[ 2(-208/3) + 19(38/3) ]
= ....

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