Which will be the 10th term in the following ser series ?357, 363, 369,..........

Given:

Series: 357, 363, 369, ...

Find the 10th term of the given Arithmetic Progression series.

Formula used:

nth term of an arithmetic sequence: a_n = a + (n-1) × d

Where:

a = first term, d = common difference, n = term number

Calculation:

a = 357

d = 363 - 357 = 6

n = 10

⇒ a₁₀ = 357 + (10 - 1) × 6

⇒ a₁₀ = 357 + 9 × 6

⇒ a₁₀ = 357 + 54 = 411

∴ The correct answer is option (2).