Hey guys I was trying to help my brother on his algebra hw but it’s been a while since I done sequencing, can someone explain the concepts in a 5th grader way so I can teach him properly and not lose my pride? Thanks a lot lol.
#Algebraic Sequencing
light imp
rapid helmBOT
formal perch
An arithmetic sequence is a sequence that satisfies $a_{n+1}=a_n+d$ for some constant real number $d$. Basically you can get the next term by adding a constant number to the previous term. The nth term of an arithmetic sequence is given by $a_n = a_1 + nd$.
A geometric sequence is a sequence that satisfies $a_{n+1} = a_nr$ for some constant real number $r$. Basically you can get the next term by multiplying a constant number to the previous term. The nth term of a geometric sequence is given by $a_n=a_1r^n$.
small pebbleBOT
purururuuriuruin
formal perch
To find d for an arithmetic series use the first equation, to find a formula use the 2nd equation
To find r for a geometric series use the 3rd equation and to find a formula use the 4th equation