{"id":"ab9fad58-0e58-4720-86e7-afed9649e332","cardType":"cloze","front":"For a rule like \"multiply by 2, then subtract 1\", you must perform the [ ] before the subtraction.","back":"For a rule like \"multiply by 2, then subtract 1\", you must perform the multiplication before the subtraction.","points":null},{"id":"ec126dc6-d168-4548-9eed-7bf47827da12","cardType":"cloze","front":"For a rule like \"multiply by 2, then subtract 1\", you must perform the multiplication before the [ ].","back":"For a rule like \"multiply by 2, then subtract 1\", you must perform the multiplication before the subtraction.","points":null},{"id":"fce914c5-8cb5-466e-82ca-ef53a7201550","cardType":"basic","front":"In the context of an $n$th term formula, what does the letter $n$ represent?","back":"The position (or term number) of the item.","points":1},{"id":"1ec6fe7b-7a4c-4156-a758-ef9cf0001026","cardType":"basic","front":"If the $n$th term is $3n + 4$, how do you find the 10th term?","back":"Substitute $n = 10$ into the formula: $3(10) + 4 = 34$.","points":2},{"id":"59373169-51e6-4e87-bb57-68b45603c1bc","cardType":"basic","front":"How do you check if a specific number (e.g., 31) is a term in a sequence given its $n$th term?","back":"

Set the formula equal to the number.
Solve for $n$.
If $n$ is a positive whole number, it is a term.

","points":3},{"id":"1ad1e0f1-d931-4044-862a-dc333383f4e9","cardType":"basic","front":"Why is $n = 6.5$ an invalid result when checking if a number is in a sequence?","back":"Term positions must be positive whole numbers (integers).","points":1},{"id":"a52281fe-9d9d-4fd8-99d9-c97b59965afa","cardType":"cloze","front":"An [ ] sequence is one where the same amount is added or subtracted each time.","back":"An arithmetic sequence is one where the same amount is added or subtracted each time.","points":null},{"id":"238b9def-3de6-4f71-a4c6-82779c9a487a","cardType":"cloze","front":"In an arithmetic sequence formula, the number multiplying $n$ is the [ ].","back":"In an arithmetic sequence formula, the number multiplying $n$ is the common difference.","points":null},{"id":"bf32dae2-7af5-4fe6-8599-107f160df8af","cardType":"basic","front":"If an arithmetic sequence decreases by 4 each time, what is the start of its $n$th term formula?","back":"$$-4n$","points":1},{"id":"cc33bb49-4395-4b52-892e-53566abae4cc","cardType":"basic","front":"What are the first three terms of the sequence with $n$th term $n^2 + 2$?","back":"

$n=1 \\rightarrow 3$
$n=2 \\rightarrow 6$
$n=3 \\rightarrow 11$

","points":2},{"id":"5dab5731-366d-4f3e-af02-6acbaf151834","cardType":"basic","front":"Find the $n$th term of the sequence: 8, 13, 18, 23.","back":"$$5n + 3$","points":2},{"id":"2cddc35a-1eea-4542-9488-0ce944630b04","cardType":"cloze","front":"To find the first negative term of a decreasing sequence, you should solve the inequality $\\text{[...]}$.","back":"To find the first negative term of a decreasing sequence, you should solve the inequality $\\boxed{n\\text{th term} < 0}$.","points":null},{"id":"fd84ba04-6d33-4df2-83d2-8fa699fb3c87","cardType":"basic","front":"How do you find the adjustment (the constant term) when deriving an arithmetic $n$th term?","back":"Compare the first term of the sequence to the result of substituting $n = 1$ into the $dn$ part of the formula.","points":2},{"id":"722e41c1-1868-4925-baae-c984aeb5924c","cardType":"cloze","front":"When calculating the $n$th term of a decreasing sequence, a common mistake is forgetting that the common difference

Sequences (Nth Term) Flashcards

Sequences (Nth Term) Flashcards

Sequences (Nth Term) Flashcards

Sequences (Nth Term) Flashcards