Gr 10 Math Ch 3: Describing Sequences

What is the term used to describe an individual item in a sequence?

Term (correct)

Factor

Element

Value

Which of the following represents the general formula for a linear sequence?

T_n = c/n

T_n = n^2 + c

T_n = d^2 + n

T_n = dn + c (correct)

How is the common difference in a sequence defined?

The average of all terms

The difference between any term and the previous term (correct)

The product of the first and second terms

The sum of all terms

What does the variable 'd' represent in the formula T_n = dn + c?

The common difference Signup and view all the answers

Which statement about linear sequences is correct?

Linear sequences are characterized by a constant common difference. Signup and view all the answers

If the first term of a sequence is 2 and the common difference is 3, what is the fifth term?

15 Signup and view all the answers

If the third term of a linear sequence is 11 and the common difference is 2, what is the first term?

5 Signup and view all the answers

Which of the following formulas would NOT describe a linear sequence?

T_n = n^2 + 1 Signup and view all the answers

What is the common difference if the first term is 5 and the fourth term is 20 in a linear sequence?

5 Signup and view all the answers

In a sequence defined by T_n = 3n + 4, what is the value of T_2?

10 Signup and view all the answers

If the common difference of a linear sequence is negative, what effect does it have on the sequence?

The sequence will always decrease. Signup and view all the answers

What can be concluded if the common difference 'd' in a sequence is zero?

The sequence is a constant sequence. Signup and view all the answers

If a linear sequence has a first term of 7 and a common difference of -2, what is the equation for the n-th term of that sequence?

T_n = 7 - 2n Signup and view all the answers

In a linear sequence where the 4th term is 16 and the common difference is 3, what is the formula for the sequence?

T_n = 3n + 13 Signup and view all the answers

Given the sequence defined by the formula T_n = 5n - 4, what is the 10th term in the sequence?

46 Signup and view all the answers

What is the common difference in the sequence defined by T_n = 7 - 4(n - 1)?

-4 Signup and view all the answers

A linear sequence is defined such that T_1 = 10 and T_6 = 10. What can be inferred about the common difference?

The common difference is zero. Signup and view all the answers

If the 2nd term of a linear sequence is 5 and the common difference is d = -1, what is the 5th term?

2 Signup and view all the answers

If the general formula of a sequence is given by $T_n = 4n - 3$, what is the common difference?

4 Signup and view all the answers

In a linear sequence where the first term is 8 and the fifth term is 24, what is the common difference?

4 Signup and view all the answers

If a sequence is defined by the formula $T_n = 2n + 7$, which term equals 15?

4 Signup and view all the answers

Given the sequence defined by $T_n = -2n + 5$, what is the 10th term in the sequence?

-15 Signup and view all the answers

What is the fourth term in a linear sequence defined by $T_n = 3n - 1$?

9 Signup and view all the answers

For a sequence with a first term of 5, third term of 11, and sixth term of 20, what is the common difference?

4 Signup and view all the answers

Gr 10 Math Ch 3: Describing Sequences

Questions and Answers

What is the term used to describe an individual item in a sequence?

Which of the following represents the general formula for a linear sequence?

How is the common difference in a sequence defined?

What does the variable 'd' represent in the formula T_n = dn + c?

Which statement about linear sequences is correct?

If the first term of a sequence is 2 and the common difference is 3, what is the fifth term?

If the third term of a linear sequence is 11 and the common difference is 2, what is the first term?

Which of the following formulas would NOT describe a linear sequence?

What is the common difference if the first term is 5 and the fourth term is 20 in a linear sequence?

In a sequence defined by T_n = 3n + 4, what is the value of T_2?

If the common difference of a linear sequence is negative, what effect does it have on the sequence?

What can be concluded if the common difference 'd' in a sequence is zero?

If a linear sequence has a first term of 7 and a common difference of -2, what is the equation for the n-th term of that sequence?

In a linear sequence where the 4th term is 16 and the common difference is 3, what is the formula for the sequence?

Given the sequence defined by the formula T_n = 5n - 4, what is the 10th term in the sequence?

What is the common difference in the sequence defined by T_n = 7 - 4(n - 1)?

A linear sequence is defined such that T_1 = 10 and T_6 = 10. What can be inferred about the common difference?

If the 2nd term of a linear sequence is 5 and the common difference is d = -1, what is the 5th term?

If the general formula of a sequence is given by $T_n = 4n - 3$, what is the common difference?

In a linear sequence where the first term is 8 and the fifth term is 24, what is the common difference?

If a sequence is defined by the formula $T_n = 2n + 7$, which term equals 15?

Given the sequence defined by $T_n = -2n + 5$, what is the 10th term in the sequence?

What is the fourth term in a linear sequence defined by $T_n = 3n - 1$?

For a sequence with a first term of 5, third term of 11, and sixth term of 20, what is the common difference?

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