Answer:
aₙ = 2 + 10n
Explanation:
The given sequence is Arithmetic Sequence.
Arithmetic Sequence is a sequence in which every two neighbor digits have equal distances.
For finding the nth term, we use formula
aₙ = a + (n - 1) d
where, aₙ = value of nth term
a = First term
n = number of term
d = difference
Now, In given sequence: 12, 22, 32, 42, 52, ...
a = 12, d = 10
∴ aₙ = 12 + (n - 1) × (10)
⇒ aₙ = 2 + 10n
The nth term of given sequence is: 10n + 2