Arithmetic
What is an Arithmetic Sequence?
A: Is a sequence of numbers in which the difference between consecutive terms is always the same.
B: Number sequences are sets of numbers that follow a pattern or a rule.
C: It Is a math topic.
A
What is a Geometric Sequence?
A: Is the sum of the terms in an arithmetic sequence with a definite number of terms.
B: Follows the principles of Geometry.
C: Number sequences are sets of numbers that follow a pattern or a rule
C
What formula does this belong to?
an= a1+(n-1)d
Arithmetic Sequence
BUFF ACQUIRED - DOUBLE POINTS
Find the common difference of the sequence: 2, 5, -8, 11, …
3
What formula does this belong to?
an=a1r^(n-1)
Geometric Sequence
BUFF ACQUIRED - SKIP QUESTION NO POINTS
Find the common ratio of the sequence: 2, 6, 18, 54,…
3
DEBUFF
How do we determine an Arithmetic Sequence?
A: In a Arithmetic Sequence each term is found by multiplying the previous term by a constant.
B: If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
C: The sum of an arithmetic sequence is found by multiplying the number of terms times the average of the first and last terms.
B
BUFF ACQUIRED - CHOICE REMOVER
How do we determine a Geometric Sequence?
A: If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is a Geometric sequence.
B: In a Geometric Sequence each term is found by multiplying the previous term by a constant.
C: The sum of a Geometric Sequence is found by multiplying the number of terms times the average of the first and last terms.
B
DEBUFF
What formula does this belong to?
sn=n/2 [2a1+(n-1)d]
Sum of Arithmetic Sequence
Arithmetic Sequence: Find the next 3 terms in the sequence: 9, 109, 209, 309, 409, __, __, __...
509, 609, 709
The first term of an arithmetic sequence is equal to 6 and the common difference is equal to 3. Find a formula for the nth term and the value of the 50th term.
Use the value of the common difference d = 3 and the first term a1 = 6 in the formula for the n th term given above
The 50th term is found by setting n = 50 in the above formula.
DEBUFF
What formula does this belong to?
sn=(a1(r^n-1))/(r-1)
Sum Geometric Sequence
DEBUFF
What is the 10th term of the sequence: 1000, -500, 250, -125,…
125/64
BUFF ACQUIRED - DOUBLE POINTS
What is an example of an Arithmetic Sequence?
A: 0, 1, 3, 4, 93
B: 2, 4, 8, 16
C: 9, 15, 21, 27
C
DEBUFF
What is an example of a Geometric Sequence?
A: 1, 3, 9, 27, …
B: 1, 2, 3, 4,…
C: 1, 4, 9, 16, 25,…
A
Find the 10 th term of a geometric sequence if a1 = 45 and the common ration r = 0.2.
Use the formula
an=a1×rn−1an=a1×rn−1
that gives the n th term to find a10 as follows
a10=45×0.210−1=2.304×10−5
DEBUFF