Every Day is Mathematics: Geometric Progression Part 1

Geometric Progression

let us recap again the lesson yesterday.

Geometric Progression will have : Common Ratio , r.

How to get it?

r = t₂/t_{1 or}

= t₃/t_{2 or}

= t₄/t_{3 and other}

_{in general...}r = t_n-1/t_n

Simply by dividing the second term with the first term.

The Rule- To find the n^th

For any given question, The main steps are:

1. Check the sequence whether it is a geometric progression(GP) or arithmetic progression(AP).

2. Identify the common different,d-(AP) or common ratio,r-(GP)

3. Identify the first term

Let say you are given a question :

Example 1: Find the 10^thterm of the sequence: 2, 4, 8, ...

let us solve it step by step...

Step 1 : Check whether the sequence is AP or GP.

So, it is a Geometric Progression(GP).

Step 2: Since it is a GP, so the r = 2.

Step 3: The first term, a = 2.

Solution:

Example 2 : Find the number of terms of the sequence : 2 , 6 , 18 , …. 486

Start with : Determine whether it is GP or AP? (Very important, so that we use the correct formula)

So, it is a Geometric Progression(GP).

Step 2: Since it is a GP, so the r = 3.

Step 3: The first term, a = 2.

Solution:

Further exercise :

Download Module Progression (If you don't have it) : MODULE

Solve Question page 13 & 14.

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OK guyss.. happy learning.. #studyADDMATHathome