
Method and examples


Arithmetic Progression 



Problem 1 of 19 


1. For given arithemetic progression series ,... find th term and addition of first th terms.










Solution 
Solution provided by AtoZmath.com


Want to know about

This is demo example. Please click on Find button and solution will be displayed in Solution tab (step by step)
Arithmetic Progression 
1. For given arithemetic progression series 7,3,1,5,9 ,... find 10 th term and addition of first 10 th terms.
Here first term `a = 7,`
`d = 3  7 = 4`
We know that, `f(n) = a + (n  1)d`
`f(10) = 7 + (10  1)(4)`
`= 7 + (36)`
`= 29`
We know that, `S_n = n/2 [2a + (n  1)d]`
`:. S_10 = 10/2 * [2(7) + (10  1)(4)]`
`= 5 * [14 + (36)]`
`= 5 * [22]`
`= 110`
Hence, `10^(th)` term of the given series is `29` and sum of first `10^(th)` term is `110`



