An AP has first term and common difference

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

An AP has first term

2

and common difference

2

. A GP has the same first term

2

and common ratio

2

. If each progression is summed for its first three terms, evaluate

\dfrac{S_{AP}}{S_{GP}}

. (a)

\dfrac{7}{6}

(b)

\dfrac{3}{7}

(c)

\dfrac{6}{7}

(d)

\dfrac{7}{3}