Question

The next term of the following series is
150
50, 120, 170, 288, 362, ?
(1) 528
(2) 531
(3) 530
(4) 529​

Answer 1

Answer:

May be 528 is the correct answer

Answer 2

The next number is "option 1) 528".

Explanation:

The given sequence:

50, 120, 170, 288, 362, ?

To find, the next term =

Pattern follow:

$7^{2} +1,11^{2} -1,13^{2} +1,17^{2} -1,19^{2} +1,23^{2} -1,..$

All numbers are consecutive prime numbers.

$50=7^{2} +1 =49+1=50$

$120=11^{2} -1 =121-1=120$

$170=13^{2} +1 =169+1=170$

$288=17^{2} -1 =289-1=288$

$362=19^{2} +1 =361+1=362$

Similarly,

$?=23^{2} -1 =529-1=528$

Hence, the next number is "option 1) 528".