if an=4n-2, then s2 is
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Answer:
Step-by-step explanation:
Given, S
n
=4n
2
−n
When n=1,
S
1
=4(1)
2
−1=4−1=3
Now, obviously, the sum of the first term will be the first term itself, as there are no other terms involved.
When n=2,
S
2
=4(2)
2
−1=16=2=14
The sum of the first 2 terms is equal to a
1
+a
2
Therefore, a
1
+a
2
=14
We have shown, above, that a
1
=3
Substituting it in a
1
+a
2
=14,
3+a
2
=14
a
2
=11.
The common difference, d, is the difference between any 2 consecutive terms.
d=a
2
−a
1
=11−3
=8
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