anonymous
  • anonymous
Consider the arithmetic sequence 15, 13.2, 12, .... (a) Find the nth term of the sequence. >>>13.5+1.5n??<<< (b) Find the number of +ve terms. (c) What is the sum of all the +ve terms of the sequence? @ganeshie8 @hartnn @hba
Mathematics
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SOLVED
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chestercat
  • chestercat
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hartnn
  • hartnn
is that 15,13.5,12 .. ?
anonymous
  • anonymous
yes
anonymous
  • anonymous
how about b?

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hartnn
  • hartnn
n'th term needs to be positive, >0 13.5+1.5n >0 solve this for n
hartnn
  • hartnn
or solve for 13.5 +1.5n = 0 to get which term =0 and then, one number less will be number of positive terms
anonymous
  • anonymous
1.5n>-13.5 -ve number??
hartnn
  • hartnn
oops, 13.5 + 1.5 n <= 0 to get which term will be non positive. then one less than n will give you number of positive terms
anonymous
  • anonymous
wait for me, i have dinner first
hartnn
  • hartnn
i am just trying to find which terms starts to become negative for that i equate n'th term formula with <=0 that will be first negative term
hartnn
  • hartnn
okk..
hartnn
  • hartnn
oh and your n'th term will have negative sign because d = -1.5 (not +1.5) 15+(n-1) (-1.5) = 15 +1.5 -1.5n = 16.5 -1.5 n
hartnn
  • hartnn
now do 16.5-1.5n >0 to get number of positive terms
hartnn
  • hartnn
you would know why d=-1.5, right ?
anonymous
  • anonymous
yes, since it is decreasing n>9

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