Question

5,13,21,29,37......

a)express 29 and 37 as sum if 2 square
b) find the next 4 numbers in the list
c) find the sum of first 50 number in the list ​

Answer 1

Expert Verified Answer

Explanation:

a) 29 can be expressed as the sum of two squares: 5^2 + 2^2, and 37 can be expressed as 6^2 + 1^2.

b) The next four numbers in the list are 45, 53, 61, and 69.

c) To find the sum of the first 50 numbers in the list, we can use the formula for the sum of an arithmetic series: S = n/2 * (a_1 + a_n), where n is the number of terms, a_1 is the first term, and a_n is the nth term.

In this case, n = 50, a_1 = 5, and a_n = 5 * 50 + 4 = 254. So, the sum is: S = 50/2 * (5 + 254) = 50/2 * 259 = (50 * 259) / 2 = 6450.