Question

formula sheet matching
drag and drop the correct formulas as it is on the formula sheet.
arithmetic sequence formulas
recursive: $a_{n+1}$ =
explicit: = +d
drag & drop the answer
$a_{n-1}$ $-d$ $a_{n+1}$ $a_n$ $(n - 1)$ $+d$
$a_1$ $(n + 1)$
note: use ctrl+d to drag the option via keyboard

Explanation:

Step1: Recursive Formula for Arithmetic Sequence

In an arithmetic sequence, the recursive formula is \( a_{n + 1}=a_{n}+d \). So we need to fill \( a_{n} \) and \( +d \) in the recursive formula's blanks.

Step2: Explicit Formula for Arithmetic Sequence

The explicit formula for an arithmetic sequence is \( a_{n}=a_{1}+d(n - 1) \). So we need to fill \( a_{n} \), \( a_{1} \) and \( (n - 1) \) in the explicit formula's blanks.

Answer:

• Recursive: \( a_{n + 1}=\boldsymbol{a_{n}}+\boldsymbol{d} \) (drag \( a_{n} \) and \( +d \) to the blanks after \( = \))
• Explicit: \( \boldsymbol{a_{n}}=\boldsymbol{a_{1}}+d\boldsymbol{(n - 1)} \) (drag \( a_{n} \), \( a_{1} \) and \( (n - 1) \) to the corresponding blanks)