IB Mathematics Analysis and Approaches Topic SL…

A concert hall has $1.2 \times 10^3$ attendees on its opening night. Each performance attracts 80 more attendees than the previous one.

Find the number of attendees at the 8th performance in scientific notation.

Find the total number of attendees in the first 20 performances.

At which performance does attendance first exceed $2.0 \times 10^3$ ?

An arithmetic progression $P$ has first term $2a+1$ and common difference $d$ . An arithmetic progression has the same first term as and common difference . and .

In an arithmetic sequence, the $9$ th term is $25$ and the sum of the first $20$ terms is $425$ . Find the value of such that .

A school is arranging chairs in rows for an assembly. The number of chairs in each row forms an arithmetic sequence. The first row has $4$ chairs, the second row has $9$ chairs, the third row has $14$ chairs, and so on, increasing by $5$ chairs per row. The school is interested in the total number of chairs in the even-numbered rows.

The 3rd term of an arithmetic progression is $1407$ and the 10th term is $1183$ .

Determine the number of positive terms in the progression.

Find the value of $a$ and the value of $d$ .

Find the value of $k$ such that $u_k = 0$ .

Determine a formula for the number of chairs in the $n^{\text{th}}$ even-numbered row.

Calculate the total number of chairs in the first $6$ even-numbered rows.

IB Mathematics Analysis and Approaches SL 1.2—arithmetic Sequences and Series Questionbank

IB Mathematics Analysis and Approaches SL 1.2—arithmetic Sequences and Series Questionbank

IB Mathematics Analysis and Approaches SL 1.2—arithmetic Sequences and Series Questionbank

IB Mathematics Analysis and Approaches SL 1.2—arithmetic Sequences and Series Questionbank

IB Mathematics Analysis and Approaches (AA) Topic SL 1.2—arithmetic Sequences and Series Questionbank