Correct Answer - Option 1 : 1050

__CONCEPT__:

__CALCULATION__:

Given that : a = 10, a_{20} = 200.

As we know that an = a + (n – 1) d.

⇒ 200 = 10 + (20 - 1) × d

⇒ d = 10

Again \(\rm S=\rm\frac{n}{2}[2a+(n-1)d]\)

⇒ S_{14} = 1050

Hence, option (1) is the correct answer.