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Grade: 11

                        

If for a sequence (t n ), S n = 2n 2 +5n, find t n and show that the sequence is an A.P.

2 years ago

Answers : (1)

Arun
24742 Points
							
As we know
For any sequence
Tn = Sn - S(n-1)
Hence
Tn = 2 n² + 5n - [2(n-1)² + 5(n-1)]
 = 2n² + 5n - 2n² -2 +4n -5n +5
= 4n +3
 
Now
T1 = 7
T2 = 11
T3 = 15
Hence this forms an A.P.
2 years ago
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