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In a sequence, what does (T_3) represent?

What is a 'term' in the context of sequences?

Which of the following formulas represents the general term of a linear sequence?

What does 'd' represent in the general formula for a linear sequence, (T_n = dn + c)?

How is the common difference ((d)) calculated in a linear sequence?

Which characteristic defines a sequence as a 'linear sequence'?

Given the sequence 2, 5, 8, 11, ..., what is the formula for the (n)th term ((T_n))?

If the 5th term of a linear sequence is 21 and the common difference is 4, what is the formula for the (n)th term ((T_n))?

Consider a linear sequence where (T_a = b) and (T_b = a), with (a b). Determine the common difference, $d$, and express the general term, $T_n$, in terms of $a$, $b$, and $n$.

A sequence is defined such that the sum of its first (n) terms is given by (S_n = an^2 + bn), where (a) and (b) are constants. Find an expression for the (n)th term, (T_n), of the sequence.

What is the defining characteristic of a sequence?

In the context of sequences, what is an individual item within the sequence called?

For a linear sequence, how is the 'common difference' ((d)) between consecutive terms defined?

Given a linear sequence, if (T_4 = 15) and (T_3 = 11), what is the common difference ((d))?

In the general formula for a linear sequence, (T_n = dn + c), what does the term '(c)' represent?

If a linear sequence has a common difference of (-3), which of the following general formulas could represent this sequence?

Consider a sequence defined by (T_n = 2n + 3). What is the common difference of this sequence?

A sequence is given by the formula (T_n = dn + c). If (T_1 = 7) and (T_2 = 12), what are the values of (d) and (c)?

In a linear sequence, if the common difference (d) is zero, what type of sequence is formed?

Which of the following sequences is NOT a linear sequence?

In the formula $T_n = dn + c$, what effect does changing the value of $c$ have on the sequence?

If a sequence is defined by $T_n = -2n + 5$, which term is equal to -5?

Which of the following best describes a 'term' in a sequence?

Given $T_n = 3n - 2$, what is the sum of the first three terms of the sequence?

In a linear sequence, if the first term is $a$ and the common difference is $d$, what is the formula for the sum of the first $n$ terms, $S_n$?

Which of the following is true about the common difference, $d$, in the linear sequence $T_n = dn + c$?

Given a geometric sequence where the ratio between successive terms is constant, is it also classified as a linear sequence?

If $T_n = an + b$ and $T_m = bn + a$, where $a \neq b$, find $T_{n+m}$.

Which of the following sequences does NOT have a common difference, thereby not qualifying as a linear sequence?

Consider two linear sequences: Sequence A is defined by $T_n = pn + q$, and Sequence B is defined by $T_n = qn + p$, where $p$ and $q$ are distinct constants. If the third term of Sequence A equals the fourth term of Sequence B, what is the relationship between $p$ and $q$?