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Q)

Which term of an ap is 17 if the 3term is 38 and 8 term is 23

Which term of an ap is 17 if the 3term is 38 and 8 term is 23

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A)
given

a+2d=38..............1

a+7d=23...............2

subtracting 1 from 2 we get

5d=-15

d=-3

we need to find which term is 17

now a+2(-3)=38

a-6=38

a=44

let the term be x

44+x(-3)=17

44-17=3x

27=3x

x=9

so the 10 th term i.e a+9d=17
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