Stephanie's Reflection

tn-t1+(n-1)d (arithmetic)
sn=(n(t1+tn))/2

• n is term number
• t1 is first term
• d is what you add
• tn is term number in the sequence

tn=t'∙r^(n-1) (geometric)
sn=(t1(1-r^n))/1-r

• r is what you multiply by

lim/n infinity

• if the degree of the top is equal to the degree of the bottom then the answer is the coefficient
• if the degree of the top is greater than the degree of the bottom the answer is infinity
• if the degree of the top is less than the degree of the bottom the answer is 0
• if the rules don't apply, use your calculator

for geometric sequences if the absolute value of r is less than 1 then it goes to 0

the sum of infinite series can only be found when a geometric sequence where the absolute value of r is less than 1

s=t1/1-r

• if the absolute value of r is not less than 1, the series diverges (doesn't approach a number)
• if the absolute value of r is less than 1, the series approaches a number