An infinite geometric series has first term and common ratio

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

An infinite geometric series has first term

-10

and common ratio

-\dfrac{4}{5}

. Which of the following statements is correct? (a) It converges to

50

(b) It converges to

\dfrac{50}{9}

-\dfrac{50}{9}

(d) The series diverges