anonymous
  • anonymous
Find the sum of a finite arithmetic sequence from n = 1 to n = 15, using the expression 2n + 5. 315 215 32 35
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
anonymous
  • anonymous
anonymous
  • anonymous
Please help! Ill give medals and become fan

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anonymous
  • anonymous
what is the first term, when \(n=1\)?
anonymous
  • anonymous
I dont know
anonymous
  • anonymous
really?
anonymous
  • anonymous
replace \(n\) by \(1\) in \(2n+5\)
anonymous
  • anonymous
so its 7?
anonymous
  • anonymous
yes now hold that number
anonymous
  • anonymous
what is \(2n+5\) if \(n=15\)?
anonymous
  • anonymous
35?
anonymous
  • anonymous
yes
anonymous
  • anonymous
Is that the final answer?
anonymous
  • anonymous
formula you are going to use is \[\frac{n}{2}(a_1+a_n)\] you have \(a_1=7,a_{15}=35\)
anonymous
  • anonymous
what is\(7+35\)?
anonymous
  • anonymous
Its 42
anonymous
  • anonymous
ok so we are at \[\frac{15}{2}(42)\]
anonymous
  • anonymous
divide 42 by 2, then multiply the result by 15
anonymous
  • anonymous
Its 315

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