Today's soundtrack is *Myles Kennedy: Year of the Tiger*, a solo album by the singer of Alter Bridge, the band that Mark Tremonti is a guitarist in. It's interesting that Alter Bridge is the middle ground of these two artists' solo efforts: Mark Tremonti's solo albums are very heavy, almost metal; Kennedy's "Year of the Tiger" is more like a relaxed, bluesy country rock: no distortion guitars to be found here; lots of acoustic fingerpicking and crooning. It's an unexpectedly pleasant album.

This afternoon, I'm going to continue learning about arithmetic series. To recap where I left off last time: *When we have an arithmetic sequence, we call each of its numbers "terms," and we name them by their position in the sequence: t1, t2, t3, etc. Similarly, series' are identified by their sums, the combined value of the terms up to that point. S1 = t1, S2 = t1+t2, S3 = t1+t2+t3, and so on. We call these sums "partial sums" (Pearson Pre-Calculus 11, p. 15).*

To find *n* when we know *t1* and *d*, we solve for *n* in the following equation:
**tn = t1 + d (n - 1)**

To find *Sn* when we know *t1* and *tn*, we solve for *Sn* in the following equation:
**Sn = (n [t1 + tn] ) / 2**.

To find *Sn* when we know *t1* and *d*, we solve for *Sn* in the following equation:
**Sn = n/2 (2t1 + ****d ****[****n****-1] )**.

To find *t1 *when we know *Sn* and *tn*, we solve for *t1* in the following equation:
**Sn = n/2 (t1 + tn)**.

To find *d* when we know *t1* and *Sn*, we solve for *d* in the following equation:
**Sn = n/2 (2t1 + ****d ****[****n****-1] )**.

To find *n* when we know *t1* and *S*, we solve for *n* in the following equation:
**Sn = (n [t1 + tn] ) /2**.

*Using BEDMAS is really important in these equations*