1.

The first and last term of an AP are 17 and 350 respectively. if the common difference is 9 how many terms are there and what is their terms?​

Answer»

nd d be the first term and common DIFFERENCE for an AP.number of TERMS of AP = nlast term = NTH term = l given:a = 17 d = 9 , l = 350A + ( n - 1 ) d=nth term=> 35017 + ( n - 1 ) 9 = 350=>( n - 1 ) 9 = 350 - 17=>( n - 1 ) 9 = 333=>n - 1 = 333 /9=>n - 1 = 37=>n = 37 + 1 =>n = 38Therefore ,number of terms in given AP = ━━━━━━━━━━━━━━━━The terms are:-━━━━━━━━━━━━━━━━Additional:How to FIND the sum of the terms of AP? let Sum of n terms of AP = Snwe know, Sn = n /2 ( a + l )here n= 38 (as we calculated) putting values we get:Sum = 38 / 2 [ 17 + 350 ]= 19 × 367= 6973


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