Question

What is the deferance betwwn arithmetic and geometric progression?

Answer 1

Arythmetic Progression ( A P ) : is the sequence where the constant value between any 2 consecutive terms is called common difference.

So we can write this sequence: a, a + d,  a + 2 d,... a + ( n - 1 ) d.

The sum of AP: S n = n/2 * ( a1 + an )

Geometric Progression ( G P ) is the sequence where the each term is a multiple of the previous one. The multiplying factor is called common differrence.

So we can write it : a,  a r,  a r^2,  a r^3,..., a r^(n-1)

Example of AP:  2, 5, 8, 11, ... ( d = 3 )

Example of GP :  3,9,27,81,... ( r = 3 )

Answer 2

Hii dear,

# Arithmetic progression-
- An arithmetic progression is a sequence of numbers such that the difference between the consecutive terms is constant.
- Difference between 2 consecutive numbers is common.
- Example-2,4,6,8,10.
Here common difference is 2.

# Geometric progression-
- A geometric progression is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number.
- Ratio between 2 consecutive numbers is common.
- Example-2,4,8,16,32.
Here common ratio is 2.

Thanks for asking.
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