Arithmetic Sequences

**maybealways** · April 17th 2009, 11:26 PM

I have a question regarding arithmetic sequences, where the general form is $U_n=U_1+(n-1)d$

The question is:

A sequence is defined by $U_n=3n-2$
a) What is the least term of the sequence which is greater than 4500?

I'd appreciate any help! Thank you ^^

**Prove It** · April 17th 2009, 11:36 PM

Originally Posted by maybealways

I have a question regarding arithmetic sequences, where the general form is $U_n=U_1+(n-1)d$

The question is:

A sequence is defined by $U_n=3n-2$
a) What is the least term of the sequence which is greater than 4500?

I'd appreciate any help! Thank you ^^

n tells you which term.

Since this must be greater than 4500...

$U_n = 3n - 2 > 4500$

$3n > 4498$

$n > 1499.33333\dots$ .

The smallest n which satisfies this inequality is $n = 1500$ .

Check with substitution if you like...

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