# Arithmetic Sequences

• Apr 17th 2009, 11:26 PM
maybealways
Arithmetic Sequences
I have a question regarding arithmetic sequences, where the general form is \$\displaystyle U_n=U_1+(n-1)d\$

The question is:

A sequence is defined by \$\displaystyle 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 ^^
• Apr 17th 2009, 11:36 PM
Prove It
Quote:

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

The question is:

A sequence is defined by \$\displaystyle 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...

\$\displaystyle U_n = 3n - 2 > 4500\$

\$\displaystyle 3n > 4498\$

\$\displaystyle n > 1499.33333\dots\$.

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

Check with substitution if you like...