sum of first nterms of a.p is s¹,s²,s³.first term is 5 and c.d is 2,4,6 respectively. prove that s¹+s³=2sr
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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
Step-by-step explanation:
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