What is an arithmetic sequence How to solve one What is an a

Solution

Arithmetic sequence is a series of numbers whose difference between any two consecutive numbers in one order is same.

Lets take an example

2,6,10,14,18..

it is an arithmetic series .in this series difference between any two consecutive terms in rightwards direction is 4.

So if we have to guess next term it will be 18 +4=22

If we want to guess nth term

a(n) =a(0) +(n-1)d

where d is the difference and a(0) is initial value.

in above series a(0)=2

d=4

if we want to know 50th term

a(50) =a(0) +(50-1)(4)

=2 +49*4

=198

if we want to find sum of n terms

S=n/2(2a +(n-1)d)

Thank you

thank you