1.

Extra questionsThe sumssum of first nterms of three aps are S1,S2and S3 respectively .The first term if each ap is 1 and their comman difference are 1,2and 3 respectively .Prove that S1+S2=2s2​

Answer»

Answer:

S

n

=

2

n

[2A+(n−1)d]

Using the above formula, we get:

S

1

=

2

n+n

2

Similarly,

S

2

=n

2

and

S

3

=

2

3n

2

−n

S

1

+S

3

=

2

n+n

2

+

2

3n

2

−n

=

2

n+n

2

+3n

2

−n

=

2

4n

2

=2n

2

=2S

2

∴S

1

+S

3

=2S

2

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