Maths Arithmetic Progression Tutorial

Example of Geometric Progression

Test Your Skills

Question :

Given A = 265

B = 265 + 265 + 265 +….+ 265

Find out which is larger-A or B?

Solve :

To find out the solution, first of all we need to sum up all the terms given in ‘B’.

All the terms, given in a series, is in Geometric Progression (G.P.)

The series can be written as:

B = 20,…, 262, 263, 264

Here, a = 20 = 2

r = 2

n = 65

Sn = [a (rn-1)] / (r – 1)

= 20 (265-1) / (2-1)

= 1 (265-1) / 1

B = 265-1

We already know that A = 265

A is thus larger than B.

Answers
A) 67 (B) 0

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