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91Ó°ÊÓ

Find each sum

∑n=190(3-2n)

Short Answer

Expert verified

The solution isS90=7920

Step by step solution

01

Given information

∑n=190(3-2n)∑n=190(3-2n)

02

Calculation

We have, ∑n=190(3-2n)∑n=190(3-2n)

The series goes localid="1649315475013" 1,-1,-3,...,-177

So, localid="1649315481474" a1=1,d=-2,an=-177

Now use formula,

an=a1+(n-1)d⇒-177=1+(n-1)(-2)⇒-177=1-2n+2⇒-2n=-180⇒n=1802=90

To find sum localid="1649315562990" S90

S90=902[1+(-177)]=-7920

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