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Questions and Answers
What is the general formula for finding the nth term in an arithmetic sequence?
What is the general formula for finding the nth term in an arithmetic sequence?
- $T_n = a+(n-1)d$ (correct)
- $T_n = a+(n+1)d$
- $T_n = a+(n-1)/d$
- $T_n = a-(n-1)d$
What is the general formula for finding the sum of the first n terms in an arithmetic sequence?
What is the general formula for finding the sum of the first n terms in an arithmetic sequence?
- $S_n = 2(a+l)$
- $S_n = n(a+l)$
- $S_n = 2n(2a+(n-1)d)$
- $S_n = n(2a+(n-1)d)$ (correct)
What defines a geometric sequence?
What defines a geometric sequence?
- Each term is found by adding a constant to the preceding term.
- Each term is found by multiplying the preceding term by a fixed number. (correct)
- Each term is obtained by subtracting a constant from the preceding term.
- Each term is obtained by dividing the preceding term by a fixed number.
What is the formula for finding the nth term in a geometric sequence?
What is the formula for finding the nth term in a geometric sequence?
What is the formula for finding the sum of the first n terms in a geometric sequence?
What is the formula for finding the sum of the first n terms in a geometric sequence?
Under what condition does an infinite geometric series exist?
Under what condition does an infinite geometric series exist?
Flashcards
nth term in arithmetic sequence
nth term in arithmetic sequence
T_n = a + (n - 1)d, where a is the first term and d is the common difference.
Sum of first n terms in arithmetic sequence
Sum of first n terms in arithmetic sequence
S_n = n(2a + (n - 1)d), where n is the number of terms.
Geometric sequence definition
Geometric sequence definition
A sequence where each term is found by multiplying the previous term by a fixed number, called the common ratio.
nth term in geometric sequence
nth term in geometric sequence
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Sum of first n terms in geometric sequence
Sum of first n terms in geometric sequence
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Condition for infinite geometric series
Condition for infinite geometric series
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