..WHAT IS ARTHMETIC PROGRESSION ..?
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- An arithmetic progression or AP is a list of numbers in which each term differs from its preceding term by a constant number, except the first term. This fixed number is known as the common difference(d) of the A.P. This common difference can be positive, negative or even zero.
- Consider the series having its first term to be ‘a’ and the common difference to be ‘d,’ then the nth term of the series is given as,
- an = a + (n−1)d
- The series is given as a, a+d, a+2d,…………, a + (n−1)d
- Arithmetic Progression Class 10 Notes Chapter 5
- Sum of n terms of an A.P
- The sum of n terms of an A.P. is given as:
- Sn, = n⁄2(2a + (n−1)d)
- Or, Sn = n⁄2(a + a + (n−1)d)= n⁄2(a + an)
- where an is the nth term of an A.P.
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Arthamatic Progression is a special type of series which has a common difference between two adjacent numbers
for example (d)...
thus the series is :
a , a+d ,a+2d, .......a+nd.
where a = first number of series
n= no.of terms
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