5.1 Arithmetic Progressions

5.1 Arithmetic Progressions - Set 1

Report 1 / 5

Calculate the sum of the arithmetic progression \(7,\dfrac{36}{5},\dfrac{37}{5},...\)

to the first \(39\) terms.

(A)		\(\dfrac{2\,107}{5}\)

(B)		\(\dfrac{2\,108}{5}\)

(C)		\(\dfrac{2\,106}{5}\)

(D)		\(\dfrac{2\,109}{5}\)

Difficulty Level: Medium

5.1 Arithmetic Progressions - Set 1

Report 2 / 5

For arithmetic progression

\(4,\dfrac{9}{2},5,...,\)

compute the \(T_8\) term

for the sequence.

(A) \(\dfrac{17}{2}\)

(B) \(\dfrac{19}{2}\)

(D) \(\dfrac{13}{2}\)

Difficulty Level: Medium

5.1 Arithmetic Progressions - Set 1

Report 3 / 5

Determine whether the following sequence is an arithmetic progression.

\(-4,-1,2,...\)

Difficulty Level: Easy

5.1 Arithmetic Progressions - Set 1

Report 4 / 5

For arithmetic progression

\(9,\dfrac{46}{5}, \dfrac{47}{5},...,\)

compute the \(T_n\) term

for the sequence.

(A) \(\dfrac{44}{5}+\dfrac{2}{5}n\)

(B) \(\dfrac{44}{5}+\dfrac{3}{5}n\)

(D) \(\dfrac{44}{5}+\dfrac{1}{5}n\)

Difficulty Level: Medium

5.1 Arithmetic Progressions - Set 1

Report 5 / 5

A piece of wire of length \(867\text{ cm}\) is cut into several parts such that the lengths of the parts form an arithmetic progression with the common difference, \(d\text{ cm}\). Given that the length of the shortest part is \(5\text{ cm}\) while the longest part is \(97\text{ cm}\). Find the value of \(d\).

(A)		\(\dfrac{23}{4}\)

(B)		\(\dfrac{23}{5}\)

(C)		\(\dfrac{13}{4}\)

(D)		\(\dfrac{13}{5}\)

Difficulty Level: Hard