Sequences and Series Review (1 of 4)

Sequences and Series Review
Part 1: (a-h)
a-b.) Given the nth term formula, write the first few terms of the sequence.
c-d.) Use the recursive rule to write the next terms in the sequence.
e-f.) Use summation (sigma) notation to find the sum of the series.
g-h.) Write the given arithmetic or geometric series in summation (sigma) notation.

Part 2: (i-n)
i-n.) Given a sequence, decide whether the sequence is arithmetic, geometric, or neither. Find a formula for the nth term and then find the 12th term of the sequence.

Part 3: (o-t)
o.) Given the first term and the common difference of an arithmetic sequence, find another term.
p.) Given a term and the common ratio of a geometric sequence, find another term.
q.) Given two terms in an arithmetic sequence, find another term.
r.) Given two terms in a geometric sequence, find another term.
s.) Given an arithmetic series, find the sum of the first 20 terms.
t.) Given the first and last term of an arithmetic series, but not the number of terms, find the sum.

Part 4: (u-end)
u.) Given an arithmetic series in sigma notation, find the sum.
v-w.) Given a geometric series in sigma notation, find the sum.
x. Given an infinite geometric series in sigma notation, find the sum.
Find the total distance traveled by a pendulum type ride (a swinging boat) using infinite geometric series.

Category:

Education

Tags:

• sequence
• series
• sum
• sigma
• summation
• nth
• term
• recursive
• formula
• equation
• arithmetic
• geometric
• common
• difference
• ratio
• algebra
• math
• tutorial
• review

[st92g13]

thanks! this is exactly what i needed help on!

[davidtutorsmath]

@st92g13 Great. I'm glad the video helped.  Thanks for taking the time to say thank you.

[dianainojales]

THANKS YOUTUBE AND TO THE PERSON WHO UPLOAD THIS VIDEO...:)

THIS VIDEO HELP ME ALOT...:)..TO UNDERSTAND THE SEQUENCE AND SERIES:)

[davidtutorsmath]

@dianainojales You are very welcome. Glad I could help you reach understanding.

[StealtherNub]

wow, i was multi tasking and i looked up and said "ohhhh thats how he did it". Much better then my math teacher. hopefully i could remember this for finals tomorrow

[davidtutorsmath]

@StealtherNub Glad you had a moment where it clicked.  Good luck on your final.

[davidtutorsmath]

@MissMetroChic You're welcome. Glad I could help out. Good luck to you on your final exam.

[MissMetroChic]

thank you! totally forgot all about this for my final! helped a ton!

[davidtutorsmath]

@TheSharktree You're quite welcome. Way to get on YouTube and find a resource.