Find the first term of each sequence satisfying the stated condition.

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

Problem

Find the first term of each sequence satisfying the stated condition. (1) Find the first term of the sequence 2,6,18,54,…2,6,18,54,\dots which exceeds 10 00010\,000. (2) Find the first term of the sequence 4,43,12,123,…4,4\sqrt{3},12,12\sqrt{3},\dots which exceeds 48004800. (3) Find the first term of the sequence 12,6,3,1.5,…12,6,3,1.5,\dots which is less than 0.00010.0001. (4) Find the first term of the sequence 5,−152,454,−1358,…5,-\frac{15}{2},\frac{45}{4},-\frac{135}{8},\dots which is less than −100-100.

Related theory

Browse the problem library