Question

What is the next term in the series 20,141,310,599,960,1489?

Answer 1

1523 i s r i g h t a n s w e r

Answer 2

Answer:

The next number in the series is 2330

Step-by-step explanation:

Taking 1st and 2nd number of series, 20 and 141

The difference of these numbers is 121 which is square of 11

141 - 20 = 121  [ 11² ]

Similarly,

310 - 141 =  169 [ 13² ]

599 - 310 = 289 [ 17² ]

960 - 599 = 361 [ 19² ]

1489 - 960 = 529 [ 23 ² ]

Thus, we observe a common pattern here that is the difference of two consecutive numbers is the square of consecutive prime numbers starting from 11 .

Thus, the next prime number in series = 29

[ 29² ] = 841

Adding 841 to the last number of series 1489

841 + 1489 = 2330

Thus the series is :

20, 141, 310, 599, 960, 1489, 2330