matthewryan15 matthewryan15
  • 17-06-2020
  • Mathematics
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question in attachment

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devishri1977
devishri1977 devishri1977
  • 17-06-2020

Answer:

Step-by-step explanation:

a₁₅ = 33.5  

S₁₅ = 240

So, there are 15 terms in this arithmetic progression. So, l = a₁₅ = 33.5

Sn = (n/2)(a+l)

[tex]S_{15}=\frac{15}{2}(a_{1}+l)\\\\240=\frac{15}{2}(a_{1}+33.5)\\\\240*2=15*(a_{1}+33.5)\\\\480=15*(a_{1}+33.5)\\\\\frac{480}{15}=a_{1}+33.5\\\\32=a_{1}+33.5\\\\32-33.5=a_{1}\\-1.5=a_{1}[/tex]

a₁ = - 1.5

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