Which one of the following infinite series is convergent?

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Which one of the following infinite series is convergent? (a) 7+7+7+…7 + 7 + 7 + \dots (b) 1+12+13+14+…1 + \dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+\dots (c) 8+4+2+1+…8 + 4 + 2 + 1 + \dots (d) 5−10+20−40+…5 - 10 + 20 - 40 + \dots

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