sum of 6 terms of an arithmetic sequence is 340 and the 6th term is 90 find the sequence.
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Suppose a sequence of numbers is arithmetic (that is, it increases or decreases by a constant amount each term), and you want to find the sum of the first n terms.
Denote this partial sum by Sn . Then
Sn=n(a1 + an)2 ,
where n is the number of terms, a1 is the first term and an is the last term.
The sum of the first n terms of an arithmetic sequence is called an arithmetic series .
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(please check your question)
Step-by-step explanation:
given, in an A.P, S₆ = 340 and t₆ = 90
Sₙ = ()[a+l)
here, 340 = ()*(a+90)
=> 340 = 3(a+90)
=> 340 = 3a + 270
=> 3a = 340-270 = 70
=> a = 70/3 here you cant get a fraction
(please check your question)
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