An AP has first term and common difference

MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

An AP has first term

6

and common difference

3

. A GP has first term

6

and common ratio

\dfrac12

. State, with reason in not more than two sentences, the limiting value of

S_{AP}-S_{GP}

as the number of terms

n

tends to infinity.