Question

indicate it as per the “Ins
13, 74, 290, 650, .....​

Answer 1

Answer:

1370

Step-by-step explanation:

Here we observe the first term 13 can be written as :22 +32. Similarly other numbers can be written as :

74 :52 +72

290:112+132

650 : 172 +192.

Here we observe that all above term of series can be written as sum of squares of two prime numbers which comes next to it's previous pair.

Like : (2,3) ; (5,7) ; (11,13) ; (17,19)

So, other pair of prime number will be) 23,29. Hence next term of given series will be :

= 232+232 = 1370

So.,correct answer is 1370.

Answer 2

Answer:

1370

Step-by-step explanation:

The series given comprises of sums of squares of pairs of prime numbers in sequence:

• 2^2 + 3^2 = 13

• 5^2 + 7^2 = 74

• 11^2 + 13^2 = 290

• 17^2 + 19^2 = 650

• 23^2 + 29^2 = 1370

13, 74, 290, 650, 1370