Pre-calculus-First Semester (2nd Periodical)

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Which of the following sequences is an arithmetic sequence?

an = 1 + 2 + 3 + ... + n
an = 1 + 2n + 3n^2
an = (-1)^n
an = 2 - n (correct)

Which of the following sequences is a geometric sequence?

an = 2 - n
an = 1 + 2n + 3n^2
an = (-1)^n (correct)
an = 1 + 2 + 3 + ... + n

What is the value of the arithmetic series S for the sequence an = 2 - n?

-5 (correct)
1
200
35

What is the value of the geometric series S for the sequence an = (-1)^n?

1 (D) Signup and view all the answers

What is the formula for the nth term of an arithmetic sequence?

an = a1 + (n - 1)d (D) Signup and view all the answers

Which of the following sequences is a geometric sequence?

an = (-1)^n (A) Signup and view all the answers

Which of the following sequences is an arithmetic sequence?

an = 2 - n (A) Signup and view all the answers

What is the value of the arithmetic series S for the sequence $a_n = 2 - n$?

-5 (A) Signup and view all the answers

What is the value of the geometric series S for the sequence $a_n = (-1)^n$?

1 (B) Signup and view all the answers

What is the formula for the nth term of an arithmetic sequence?

$a_n = 2 - n$ (A) Signup and view all the answers

Which of the following sequences is an arithmetic sequence?

$a_n = 2 - n$ (C) Signup and view all the answers

Which of the following sequences is a geometric sequence?

$a_n = (-1)^n$ (A) Signup and view all the answers

What is the formula for the nth term of an arithmetic sequence?

$a_n = 2 - n$ (D) Signup and view all the answers

What is the formula for the nth term of a geometric sequence?

$a_n = 1 + 2 + 3 + ... + n$ (D) Signup and view all the answers

What is the value of the arithmetic series S for the sequence $a_n = 2 - n$?

$-5$ (B) Signup and view all the answers

Which symbol is used to indicate a sum in sigma notation?

∑ (sigma) (C) Signup and view all the answers

What is the lower limit of summation in the notation k=1n(ak)?

1 (D) Signup and view all the answers

What is the upper limit of summation in the notation k=1n(ak)?

n (D) Signup and view all the answers

What is the value of the sum i=052i?

63 (C) Signup and view all the answers

How can the sum 1 + 12 + 13 + 14 + … + 1100 be written in sigma notation?

i=11001n (C) Signup and view all the answers

Which symbol is used to indicate a sum in sigma notation?

∑ (sigma) (D) Signup and view all the answers

What is the lower limit of summation in the notation k=1n(ak)?

1 (B) Signup and view all the answers

What is the upper limit of summation in the notation k=1n(ak)?

n (A) Signup and view all the answers

How can the sum 1 + 12 + 13 + 14 + … + 1100 be written in sigma notation?

$\sum_{i=1}^{100} i$ (C) Signup and view all the answers

What is the value of the sum i=052i?

63 (A) Signup and view all the answers

Which of the following is the correct expansion of the summation $i=24(2i+3)$?

$2(2) + 3 + 2(3) + 3 + 2(4) + 3 = 27$ (C) Signup and view all the answers

What is the value of the summation $k=03(-1)^k3$?

$0 - 1 + 8 - 27 = -20$ (C) Signup and view all the answers

What is the value of the summation $n=16nn+1$?

$12 + 23 + 34 + 25 + 56 + 67 = 252$ (D) Signup and view all the answers

Which of the following is the correct sigma notation for the sum 1 + 12 + 13 + 14 + … + 1100?

$i=11001n$ (C) Signup and view all the answers

Which of the following is the correct sigma notation for the sum 1 – 2 + 3 – 4 + 5 – 6 + 7 – 8 + 9?

$k=19(-1)^{k+1}k$ (A) Signup and view all the answers

Which property of sigma notation states that the constant 'c' can be factored out of the summation?

Property 1 (C) Signup and view all the answers

In the series i=143, what is the value of the summation?

28 (C) Signup and view all the answers

In the series i=162, what is the value of the summation?

12 (D) Signup and view all the answers

Which property of sigma notation states that the constant 'c' can be factored out of the individual terms within the summation?

Property 2 (C) Signup and view all the answers

In the series i=143ai=3, what is the value of the summation?

30 (D) Signup and view all the answers

Which of the following properties of sigma notation states that a constant 'c' can be factored out of the individual terms within the summation?

Property 1 (C) Signup and view all the answers

In the series $i=1ncai=ci=1nai$, what is the value of the summation?

n (D) Signup and view all the answers

What is the value of the series $i=1ncai$ if $a_i = 3$ and $c = 2$?

6n (B) Signup and view all the answers

What is the value of the series $i=1ncai$ if $a_i = i$ and $c = 1$?

n(n+1)/2 (B) Signup and view all the answers

Which of the following properties of sigma notation states that the upper limit of summation can be factored out of the individual terms within the summation?

Property 2 (D) Signup and view all the answers

Which property of sigma notation states that a constant 'c' can be factored out of the individual terms within the summation?

Property 2 (B) Signup and view all the answers

In the series $i=143ai=3$, what is the value of the summation?

12 (C) Signup and view all the answers

In the series $i=162$, what is the value of the summation?

12 (C) Signup and view all the answers

In the series $i=159$, what is the value of the summation?

45 (B) Signup and view all the answers

Which of the following sequences is a geometric sequence?

1, 4, 9, 16, 25 (B) Signup and view all the answers

Pre-calculus-First Semester (2nd Periodical)

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Questions and Answers

Which of the following sequences is an arithmetic sequence?

Which of the following sequences is a geometric sequence?

What is the value of the arithmetic series S for the sequence an = 2 - n?

What is the value of the geometric series S for the sequence an = (-1)^n?

What is the formula for the nth term of an arithmetic sequence?

Which of the following sequences is a geometric sequence?

Which of the following sequences is an arithmetic sequence?

What is the value of the arithmetic series S for the sequence $a_n = 2 - n$?

What is the value of the geometric series S for the sequence $a_n = (-1)^n$?

What is the formula for the nth term of an arithmetic sequence?

Which of the following sequences is an arithmetic sequence?

Which of the following sequences is a geometric sequence?

What is the formula for the nth term of an arithmetic sequence?

What is the formula for the nth term of a geometric sequence?

What is the value of the arithmetic series S for the sequence $a_n = 2 - n$?

Which symbol is used to indicate a sum in sigma notation?

What is the lower limit of summation in the notation k=1n(ak)?

What is the upper limit of summation in the notation k=1n(ak)?

What is the value of the sum i=052i?

How can the sum 1 + 12 + 13 + 14 + … + 1100 be written in sigma notation?

Which symbol is used to indicate a sum in sigma notation?

What is the lower limit of summation in the notation k=1n(ak)?

What is the upper limit of summation in the notation k=1n(ak)?

How can the sum 1 + 12 + 13 + 14 + … + 1100 be written in sigma notation?

What is the value of the sum i=052i?

Which of the following is the correct expansion of the summation $i=24(2i+3)$?

What is the value of the summation $k=03(-1)^k3$?

What is the value of the summation $n=16nn+1$?

Which of the following is the correct sigma notation for the sum 1 + 12 + 13 + 14 + … + 1100?

Which of the following is the correct sigma notation for the sum 1 – 2 + 3 – 4 + 5 – 6 + 7 – 8 + 9?

Which property of sigma notation states that the constant 'c' can be factored out of the summation?

In the series i=143, what is the value of the summation?

In the series i=162, what is the value of the summation?

Which property of sigma notation states that the constant 'c' can be factored out of the individual terms within the summation?

In the series i=143ai=3, what is the value of the summation?

Which of the following properties of sigma notation states that a constant 'c' can be factored out of the individual terms within the summation?

In the series $i=1ncai=ci=1nai$, what is the value of the summation?

What is the value of the series $i=1ncai$ if $a_i = 3$ and $c = 2$?

What is the value of the series $i=1ncai$ if $a_i = i$ and $c = 1$?

Which of the following properties of sigma notation states that the upper limit of summation can be factored out of the individual terms within the summation?

Which property of sigma notation states that a constant 'c' can be factored out of the individual terms within the summation?

In the series $i=143ai=3$, what is the value of the summation?

In the series $i=162$, what is the value of the summation?

In the series $i=159$, what is the value of the summation?

Which of the following sequences is a geometric sequence?

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