Find the nth term of this sequence 12, 22, 32, 42, 52

aₙ = 2 + 10n

Step-by-step 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