}%3D3-2%5Ctimes1%3D3-2%3D1%5C%5C %5Ctext{2nd term of an AP%3D}%3D3-2%5Ctimes 2%3D3-4%3D-1%5C%5C Common%5C difference%5C (d)%3D2nd%5C term-1st%5C term%3D-1-1%3D-2%5C%5C%5C%5C%5C%5C We%5C know%5C %5Ctext{Sum of first n term of an AP}%3D %5Cfrac{n}{2}(2a+(n-1)d)%5C%5C%5C%5C %5Ctext{Sum of first 15 term of an AP }(S_{15})%3D %5Cfrac{15}{2}(2%5Ctimes1+(15-1)(-2))%5C%5C%5C%5C%5C%5C %5CRightarrow S_{15}%3D%5Cfrac{15}{2}(2+14%5Ctimes-2)%5C%5C%5C%5C%5C%5C %5CRightarrow S_{15}%3D%5Cfrac{15}{2}(2-28)%3D%5Cfrac{15}{2}%5Ctimes(-26)%5C%5C%5C%5C%5C%5C %5Ctherefore S_{15}%3D-195?quality=80&w=800)
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