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Let a1, a2, a3....a(n) be a sequence of positive number [#permalink]

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30 Oct 2008, 08:17

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Let a1, a2, a3....a(n) be a sequence of positive number where a1=1 and for n>=1, a(n+1)= a(n)+4. Which of the following is the nth term in the sequence? a)4n-3 b)4n-1 c)4n d)4n+1 e)4n+4
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

Let a1, a2, a3....a(n) be a sequence of positive number where a1=1 and for n>=1, a(n+1)= a(n)+4. Which of the following is the nth term in the sequence? a)4n-3 b)4n-1 c)4n d)4n+1 e)4n+4

I found another approach ...

a(n+1)= a(n)+4 implies a(n+1) - a(n) = 4

this means d=4

nth term a(n) = a + (n-1)d = 1 + (n-1)*4 = 1 + 4n - 4 = 4n-3
_________________

"You have to find it. No one else can find it for you." - Bjorn Borg

i should add, the problem with such type questions is English..i feel like i get confused what they are asking about?

here the question is asking what is a(n)...had i known that it was obvious the ans choice would be 4n-3...

however, what got me was that i was looking for the nth term blindly..not realizing what the question is asking..

if n=4..then the a(5)=4n+1...

so i think it is a good thing to take a few moments just to absorb what the question is asking...

so i guess it will help if you spend the first 30 sec trying to just understand what is being asked..screw the time limit..i think if you are like me the math is mechanical once you have figured what you need to get..

so i guess the biggest challenge for most of us is understanding what is being asked..

i would welcome any tips on how to expiditiously understand what is being asked..