Question:
Choose the correct answer in each of the following questions:
The sum of first 20 odd natural numbers is
(a) 100
(b) 210
(c) 400
(d) 420
Solution:
The first 20 odd natural numbers are 1, 3, 5, ..., 39.
These numbers are in AP.
Here, a = 1, l = 39 and n = 20
∴ Sum of first 20 odd natural numbers
$=\frac{20}{2}(1+39) \quad\left[S_{n}=\frac{n}{2}(a+l)\right]$
$=10 \times 40$
$=400$
Hence, the correct answer is option C.