Find the first term of the sequence which exceeds 10 000.

MATHEMATICS · Multi-part · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

1. Find the first term of the sequence

2, 6, 18, 54, \dots

which exceeds 10 000. (1) Find the first term of the sequence

2, 6, 18, 54, \dots

which exceeds 10 000. (2) Find the first term of the sequence

4, 4\sqrt{3}, 12, 12\sqrt{3}, \dots

which exceeds 4800. (3) Find the first term of the sequence

12, 6, 3, 1.5, \dots

which is less than 0.0001.