What are the formulas for arithmetic and geometric sequences

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Mathematics
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11th Grade - University
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the n-th term in an arithmetic sequence?
a_n = a_1 + r^(n-1)
a_n = a_1 * (n - 1) * d
a_n = a_1 * r^(n-1)
a_n = a_1 + (n - 1) * d
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a geometric sequence, what does the variable 'r' represent?
The product of terms
The ratio between terms
The difference between terms
The sum of terms
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the partial sum of a geometric sequence calculated?
S_n = n/2 * (a_1 + a_n)
S_n = a_1 * (1 - r^n) / (1 - r)
S_n = a_1 + (n - 1) * d
S_n = a_1 * r^(n-1)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the sum of an infinite geometric sequence?
S = n/2 * (a_1 + a_n)
S = a_1 + (n - 1) * d
S = a_1 * (1 - r^n) / (1 - r)
S = a_1 / (1 - r)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is true about the sum of a finite geometric sequence?
It does not depend on the ratio 'r'
It is calculated using S_n = a_1 * (1 - r^n) / (1 - r)
It is always greater than the sum of an infinite sequence
It can be calculated using S = a_1 / (1 - r)
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