PAGE 48) Arithmetic Interpolation: simple exercise: # 51

Now that we have just seen the principle of what is a sequence, let’s dive deeper and start to understand what is exactly an Arithmetic Sequence, or Linear Sequence. The next 40 videos will teach you everything you need to know about this kind of sequence. And remember: the theory itself is not difficult, it’s how to think about how to SOLVE the exercises that will give you trouble….There are some challenges for you among those videos. Let’s start, and ask me anything at the discussion.

CHAPTER 1B: ARITHMETIC PROGRESSION SEQUENCES

PAGE 13) *THEORY* - Types of Sequences: Arithmetic, Geometric and Harmonic
PAGE 14) *THEORY* - Types of A.P. sequences: Increasing, Decreasing and Constant
PAGE 15) Classifying A.P. sequences: many examples
PAGE 1 - 15) Fast review of all we have been doing so far
PAGE 16,17) *THEORY* - General term for Arithmetic Progression (3 examples)
PAGE 17,18) General term exercises #4, #5, #6
PAGE 19) General term exercise #7
PAGE 20) General term exercise #8 (multiples of 3 but not 6)
PAGE 21) General term exercises #9 and #10 (multiples of 4 and/or 6)
PAGE 22) General term exercise #11
PAGE 23) General term exercise #12 (first negative term)
PAGE 24,25) *THEORY* - A.P. Sequence with ODD finite terms (special case) + exercise #13
PAGE 26) Arithmetic Progression Sequence exercise #14 (odd term sequence)
PAGE 27) Arithmetic Progression Sequence exercise #15 (internal angles of a triangle)
PAGE 28) Arithmetic Progression Sequence exercise #16
PAGE 29) *THEORY* - Term relation to its surrounding terms + REVIEW (general term+odd number terms)
PAGE 30) AP sequence exercises # 1 and #2 (using average term property)
PAGE 31) AP sequence CHALLENGE exercise # 3 (lengths of polygons) – video 1of2
PAGE 32A) AP sequence CHALLENGE exercise # 3 (lengths of polygons) – video 2of2
PAGE 32B) *THEORY* - Equidistant terms in a AP Sequence
PAGE 33) AP Equidistant terms: exercises #1 and #2
PAGE 34) AP Equidistant terms: exercise #4
PAGE 35) AP Equidistant terms: exercise #4b
PAGE 36) *THEORY* - Arithmetic Progression SUMMATION formula
PAGE 37) AP term SUMMATION: exercises #37 and # 38
PAGE 38) AP term SUMMATION: exercises: # 39 (using reasoning)
PAGE 39) AP sum exercise: # 40 (number divisible by 2,3,4,5,6,8,9)
PAGE 40) AP sum exercises: # 41 and #42 (divisible by 4 and not by 4)
PAGE 41) AP sum exercises: # 43 (building a Pyramid of math blocks)
PAGE 42) AP sum exercises: # 44 (Doge Challenger car in installments)
PAGE 43) AP exercises: # 45 (simple one)
PAGE 43) AP sum exercises: # 46 (find general expression given 2 terms)
PAGE 43) AP sum exercises: # 47 (find general expression given the sum)
PAGE 44) AP sum GREAT exercise: # 48 (different exercise: Get a positive sum)
PAGE 45) AP sum exercise: # 49 (AP Sequence+Cartesian Plane+Linear Equation)
PAGE 45) AP sum exercise: # 50 (given 2 sums, find the common difference)
PAGE 46-47) *THEORY* - Arithmetic Interpolation or Linear Interpolation
PAGE 48) Arithmetic Interpolation: simple exercise: # 51
PAGE 48) Arithmetic Interpolation: exercise: # 52
PAGE 49) Arithmetic Interpolation: exercise # 53 (must see and must know !!!)

Previous Chapter: Chapter 1A: Introduction to sequences -
Next Chapter : Chapter 1C: Geometric sequences - not yet recorded.....

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