sum of the first 5 terms is 320 and the sum of the next five term is 395 find the 3rd term and 8th term , find the sum of first 10 terms
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Step-by-step explanation:
Sum of first five terms=
2
5
(2a+4d) and
Sum of first ten terms =5(2a+9d)
⟹
2
5
(2a+4d)=5(2a+9d)
⟹a+2d=2a+9d
⟹d=
7
−a
So, either the first term is negative or the common difference is negative.
Hence, option C is correct.
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