A geometric progression has first term and common ratio

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

Problem

A geometric progression has first term

4

and common ratio

-\dfrac{1}{2}

. Each term is now divided by

-2

. Find the sum of the first six terms of the new progression. (a)

-\dfrac{63}{16}

(b)

-\dfrac{21}{16}

(c)

\dfrac{21}{8}

(d)

\dfrac{21}{16}