# Arithmetic Series Help!?

• May 16th 2009, 06:38 AM
MP3
Arithmetic Series Help!?
Hi im having a few problems on this question, may anyone help me?

1. For each series, calculate t10

2+10+18+26+..........

thank you
• May 16th 2009, 06:41 AM
Quote:

Originally Posted by MP3
Hi im having a few problems on this question, may anyone help me?

1. For each series, calculate t10

2+10+18+26+..........

thank you

Use the arithmetic summation formula where a=2 , d=8 . Calculate \$\displaystyle T_{10} \$by plugging the values in .

\$\displaystyle T_{10}=S_{10}-S_9\$
• May 16th 2009, 06:43 AM
e^(i*pi)
Quote:

Originally Posted by MP3
Hi im having a few problems on this question, may anyone help me?

1. For each series, calculate t10

2+10+18+26+..........

thank you

An arithmetic sequence has the formula:

\$\displaystyle U_n = a + (n-1)d\$

where
• \$\displaystyle U_n\$ is the nth term
• \$\displaystyle a = U_1\$ is the first term
• \$\displaystyle n\$ number of terms
• \$\displaystyle d\$ is the common difference

In your case the common difference is 18-10 = 8
The first term is 2
the number of terms is 10

Sub those in and solve