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Arithmetic Progression 



Problem 1 of 19 


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










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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`





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