5 9 26 90 13 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (e)?

The given series is in the below pattern ,
First series :-
First term = 5
Second term = First term × 1 + 4
⇒ Second term = 5 × 1 + 4 = 9
Third term = Second term × 2 + 8
⇒ Third term = 9 × 2 + 8 = 26
similarly , we can find the all others terms .
......... and so on .
Second series :-
First term = 13
Second term = First term × 1 + 4
⇒ Second term = 13 × 1 + 4 = 17
Third term = Second term × 2 + 8
⇒ Third term = 17 × 2 + 8 = 42
Fourth term = Third term × 3 + 12
⇒ Fourth term = 42 × 3 + 12 = 138
Fifth term = Fourth term × 4 + 16
⇒ Fifth term = 138 × 4 + 16 = 568
Sixth term = Fifth term × 5 + 20
⇒ Sixth term = 568 × 5 + 20 = 2860
Hence , the place value of ( e ) is 2860 .