The sum of n terms of a series is 3n2 + 4n.Then the series is______.
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10th
Maths
Arithmetic Progressions
General Formula for nth Term
The sum of n terms of a ser...
MATHS
The sum of n terms of a series is 3n
2
+4n. Show that the series is an A.P. and find the first term and common difference. What will be its nth term?
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ANSWER
T
n
=S
n
−S
n−1
.(1)
Now S
n
=3n
2
+4n
∴S
n−1
=3(n−1)
2
+4(n−1)=3n
2
−2n−1
∴T
n
=(3n
2
−4n)−(3n
2
−2n−1), by (1)
=6n+1
∴T
1
=7,T
2
=13,T
3
=19,______
∴a=7,d=6.
Answered By
toppr
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