anonymous
  • anonymous
write the following sequence in an form and find the value of the 15th term 4,9,14,19. What is the sum of the first 15 terms of the above sequence?
Mathematics
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anonymous
  • anonymous
write the following sequence in an form and find the value of the 15th term 4,9,14,19. What is the sum of the first 15 terms of the above sequence?
Mathematics
chestercat
  • chestercat
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mathteacher1729
  • mathteacher1729
Opening question: What is the pattern in this sequence? In other words, how do we get the next term, and the next, and the next...
anonymous
  • anonymous
add 5 would the equation be an=-1 + 5n?
anonymous
  • anonymous
it is an arithmatic progresion.series.... a = 4, d= 5, n=15 sum of 15 terms S15= n/2[ 2a +(n-1)d] = 15/2[ 8+14*5] = 15/2[78] = 15*39 = 585

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anonymous
  • anonymous
the formula for sum is s of n= n(a sub 1 + a sub n) divided by 2
anonymous
  • anonymous
15 th term = a+(n-1)d = 4 + 14*4 =60
anonymous
  • anonymous
i got 59..
anonymous
  • anonymous
sorry, it is 4 + 14*5 = 74
anonymous
  • anonymous
ok and what is the equation of the sequence in a sub n form
anonymous
  • anonymous
do you have aim?
anonymous
  • anonymous
already written......... a = first term d= common difference n= number of terms
anonymous
  • anonymous
no it has to be like an=-1+5n is that right?
anonymous
  • anonymous
for nth term a+(n-1)d for sum of first n terms n/2[2a +(n-1)d]
anonymous
  • anonymous
yeah iknow but you plug in a as 4 and d as 5 and simplify what you can i thought?
anonymous
  • anonymous
if you have problem to understand it , you r welcome to talk to me using skype, i m unable to explain it.......... skype id : sudhanshu_kmr
anonymous
  • anonymous
do you have instant messenger?
anonymous
  • anonymous
no......
anonymous
  • anonymous
ok another question for you:\[\sum_{n=1}^{3}i^n-1\]
anonymous
  • anonymous
its i to the n-1 power
anonymous
  • anonymous
i +i^2 +i^3 -1 = i -1 - i -1= -2 as i^2 = -1, i^3 = -i
anonymous
  • anonymous
i ended up with an answer of i?

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