CAT 2017 Progression Question (Medium)

Question

If a 1 , a 2 , a 3 ,...., then a 1 a 2 a 3 ...... a 100 is

Accepted Answer

Step 1 We are given the sequence ... up to Each term is of the form Step 2 Use partial fractions Let Multiply both sides Now expand and compare Equating coefficients From A B 0 B -A Substitute So B -1 3 Thus Step 3 Now sum up the series from to This is a telescoping series most terms cancel. What re

CAT 2017

Quantitative

Progression

Medium

If a 1 = $\frac{1}{2 × 5}$ , a 2 = $\frac{1}{5 × 8}$ , a 3 = $\frac{1}{8 × 11}$ ,...., then a 1 + a 2 + a 3 + ...... + a 100 is

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