সন্ধি বিচ্ছেদ করো - "ইতস্তত
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Explanation:
AnswEr:-
Let a and d be the first term and common difference for an AP.
number of terms of AP = n
last term = nth term = l
Given:
a = 17
d = 9 ,
l = 350
a + ( 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 = 38
Therefore ,
number of terms in given AP = n=38n=38
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The terms are:-
17, 26, 35....350 17,26,35....350
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Additional:
How to find the sum of the terms of AP?
let Sum of n terms of AP = Sn
we 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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