Question

For an ap if SN =5n² -3n , then Tn =10n-8 true or false reason for and

Answer 1

Answer:

True

Step-by-step explanation:

Sn of ap is of the form An^2 + Bn

and common difference d= 2A = 10

Tn of an ap is of the form An+B

and common difference d=A = 10

hence, eqn 1 satisfies eqn 2.

hence, the answer is true.

hence, proved.

Answer 2

It is true that if $S_n=5n^2-3n$, then $t_n=10n-8$.

Step-by-step explanation:

Given : For an A.P if $S_n=5n^2-3n$, then $t_n=10n-8$

To find : True or false reason ?

Solution :

For an A.P the sum of first term is the first term of A.P.

So, put n=1 in $S_n=5n^2-3n$

$S_1=5(1)^2-3(1)$

$S_1=2$

Now, put n=1 in nth term  $t_n=10n-8$

$t_1=10(1)-8$

$t_1=2$

As it is true that if $S_n=5n^2-3n$, then $t_n=10n-8$.

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For an AP If Sn=5n-3n,then An=10n-8 true or false

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