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Bunuel
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Bunuel
If each number in a sequence is three more than the previous number, and the sixth number is 32, what is the 100th number?

32-5*3=first number=17
17+99*3=100th number=314
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Since there is a constant difference of 3 between terms in the series => Arithmetic progression
d=3 ;
sinc 6th term =32
tn = a+(n-1)d
t6 = a+(5)*3
a=17

For 100th term
t100 = a+99*d
=17+99*3
=17+297
=314 (100th term)
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d = 3

a1 + 5d = 32

=) a1 = 17

and, a100 = a1 + 99d

=) a100 = 314

thanks
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each number in a sequence is three more than the previous number
{ m,m+3, m+6 , m+9,........}

Above set is in A.P., so
6th term, a6 = 32 = a+(n-1)d
m+(n-1)d = 32
m+(6-1)3 = 32
m+15 = 32
m = 32-15 = 17

100th term will be , = m + (100-1)3
= 17+99*3
= 17 + 297
= 314

Bunuel, please suggest
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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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