Find a3 if an=2n2+1. .
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Correct Question :-
If aₙ = 2n² + 1, then find a₃.
Solution :-
In an Arithmetic Progression, the formula for calculating nth term is given as:
aₙ = a + (n - 1)d
where:
- a is the first term
- n is the number of terms
- d is the common difference
In this Question,
aₙ is defined as 2n² + 1
For finding the third term,
Substitute n as 3
⇒ a₃ = 2(3)² + 1
⇒ a₃ = 18 + 1
⇒ a₃ = 19
∴ Third term = a₃ = 19
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