The sum of the first 1400 odd numbers is 1960000.
The sum of an arithmetic progression is given by:
sum = n/2 (2a + (n-1)d)
where n is the number of items (in this case n = 1400)
where a is the first number (in this case a = 1)
where d is the common difference between terms (in this case d = 2)
Thus:
sum = 1400/2 × (2×1 + (1400 - 1)×2)
→ sum = 1400/2 × 2(1 + 1400 - 1)
→ sum = 1400 × 1400 = 1960000
The sum of the first 60 consecutive odd numbers is 3,600.
The sum of the first 60 consecutive odd numbers is 3,600.
the sum of first 50 consecutive odd numbers is 9801
The sum of the first 600 consecutive odd numbers is 360,000.
The sum of the first 30 consecutive odd numbers is 900.
The sum of the first 350 consecutive odd numbers is 122,500.
The sum of the first 30 consecutive odd numbers is 900.
The sum of the first 900 consecutive odd numbers is 810,000.
The sum of the first 250 consecutive odd numbers is 250 squared or 62,500.
The sum of the first 450 consecutive odd numbers is 450 squared or 202,500.
The sum of the first 1,300 consecutive odd numbers is 1,300 squared or 1,690,000.
Two odd numbers are said to be consecutive if there are no other odd numbers in between. This happens when the first number is odd, and the second number is two more than the first number.