11 , 18 , 39 , 97.5 , 295.5 ,1037.75

Correct Answer: 128

Explanation:

As per the details in the question the series is in the form of
Next term = ( Previous term × variable ) + ( 1 + variable )
First term = 1
Second term = First term × 1 + 2
? Second term = 1 × 1 + 2 = 3 ;
Third term = Second term × 2 + 3
? Third term = 3 × 2 + 3 = 9 ;
Similarly , we can find all others terms also.
Fourth term = Third term × 3 + 4
? Fourth term = 9 × 3 + 4 = 31 ;
Fifth term = Fourth term × 4 + 5
? Fifth term = 31 × 4 + 5 = 128 , is wrong . it should be 129 as fifth term .
Sixth term = Fifth term × 5 + 6
? Sixth term = 129 × 5 + 6 = 651 ;
Seventh term = Sixth term × 6 + 7
? Seventh term = 651 × 6 + 7 = 3913

Correct Answer: 5.5

Explanation:

As per given above series , it is clear that
Difference between all terms are given as :- 16 ÷ 2 = 8 , 8 ÷ 2 = 4 , 4 ÷ 2 = 2 , 2 ÷ 2 = 1 , 1 ÷ 2 = 0.5 .
First term = 36
Second term = First term - 16
? Second term = 36 - 16 = 20 ;
Third term = Second term - 8
? Third term = 20 - 8 = 12 ;
Similarly , we can find all others terms also.
Fourth term = Third term - 4 = 12 - 4 = 8 ;
Fifth term = Fourth term - 2 = 8 - 2 = 6 ;
Sixth term = Fifth term - 1 = 6 - 1 = 5.5; 5.5 is wrong. It should be 5 .
Seventh term = Sixth term - 0.5 = 5 - 0.5 = 4.5
Hence, 5.5 is wrong. It should be 5 as Sixth term .

Correct Answer: 167.5

Explanation:

The given series is in the below pattern,
First term = 3
Second term = First term × 2.5
? Second term = 3 × 2.5 = 7.5 ;
Third term = Second term × 2
? Third term = 7.5 × 2 = 15 ;
Fourth term = Third term × 2.5
? Fourth term = 15 × 2.5 = 37.5 ;
Fifth term = Fourth term × 2
? Fifth term = 37.5 × 2 = 75 ;
Sixth term = Fifth term × 2.5
? Sixth term = 75 × 2.5 = 167.5; 167.5 is wrong. It should be 187.5.
Seventh term = Sixth term × 2
? Seventh term = 187.5 × 2 = 375 ;
Hence, 167.5 is wrong. It should be 187.5.

Correct Answer:

Explanation:

The series is an alternate series, having
Odd position series :-
First term = 2
Third term = ( First term × 3 ) - 1
? Third term = ( 2 × 3 ) - 1 = 5 ;
Fifth term = ( Third term × 3 ) - 1
? Fifth term = ( 5 × 3 ) - 1 = 14 ;
Seventh term = ( Fifth term × 3 ) - 1
?Seventh term = ( 14 × 3 ) - 1 = 41 ;
Even position series :-
Second term = 3
Fourth term = ( Second term × 3 ) - 1
? Fourth term = ( 3 × 3 ) - 1 = 8 ;
Sixth term = ( Fourth term × 3 ) - 1
? Sixth term = ( 8 × 3 ) - 1 = 23 ;
Eighth term = ( Sixth term × 3 ) - 1
? Eighth term = ( 23 × 3 ) - 1 = 69; 69 is wrong. It should be 68.

Correct Answer: 347

Explanation:

From the given figure , we can see that
First term = 2807
Second term = ( First term - 7 ) ÷ 2 = 1400
Third term = ( Second term - 6 ) ÷ 2 = 697
? Second term = ( 2807 - 7 ) ÷ 2 = 1400 ;
? Third term = ( 1400 - 6 ) ÷ 2 = 697 ;
? Fourth term = ( 697 - 5 ) ÷ 2 = 347; 347 is wrong. It should be 346.
? Fifth term = ( 346 - 4 ) ÷ 2 = 171 ;
? Sixth term = ( 171 - 3 ) ÷ 2 = 84 ;
? Seventh term = ( 84 - 2 ) ÷ 2 = 41 ;
? Eighth term = ( 41 - 1 ) ÷ 2 = 20
Hence, 347 is wrong. It should be 346.

Correct Answer:

Explanation:

As per the details in the question the series is in the form of
First term = 2
Second term = First term × 1 + 7
? Second term = 2 × 1 + 7 = 2 + 7 = 9 ;
Third term = Second term × 2 - 11
? Third term = 9 × 2 - 11 = 18 - 11 = 5; 5 is wrong. It should be 7 as Third term .
Similarly , we can find all others terms also.
Fourth term = Third term × 3 + 15
? Fourth term = 7 × 3 + 15 = 21 + 15 = 36 ;
Fifth term = Fourth term × 4 - 19
? Fifth term = 36 × 4 - 19 = 144 -19 = 125 ;
Sixth term = Fifth term × 5 + 23
? Sixth term = 125 × 5 + 23 = 625 + 23 = 648 ;
Seventh term = Sixth term × 6 - 27
? Seventh term = 648 × 6 - 27 = 3888 - 27 = 3861 .
New series is
First term = 5 × 1 + 7 = 12;
Second term = 12 × 2 - 11 = 13.
Hence Second term of new series is 13 and correct option is ( E ) .

Correct Answer: 87

Explanation:

The given series is in the below pattern,
First term = 2
Second term = ( First term × 2 ) + 3
? Second term = ( 2 × 2 ) + 3 = 7 ;
Third term = ( Second term × 2 ) + 5
? Third term = ( 7 × 2 ) + 5 = 19
Similarly , we can calculate all others terms also.
Fourth term = ( Third term × 2 ) + 7
? Fourth term = ( 19 × 2 ) + 7 = 43 , is wrong.it should be 45 as fourth term .
Fifth term = ( Fourth term × 2 ) + 9
? Fifth term = ( 45 × 2 ) + 9 = 99 ;
Sixth term = ( Fifth term × 2 ) + 11
? Sixth term = ( 99 × 2 ) + 11 = 209 ;
Seventh term = ( Sixth term × 2 ) + 11
? Seventh term = ( 209 × 2 ) + 13 = 431
New series is given as -
First term = 43 × 2 + 3 = 89;
Second term = 89 × 2 + 5 = 181.
Hence Second term of new series is 181.

Correct Answer: 18

Explanation:

From above given series , we can see that
Next term = Previous term × variable + variable²
First term = 1
Second term = First term × 1 + 1²
? Second term = 1 × 1 + 1² = 1 + 1 = 2 ;
Third term = Second term × 2 + 2²
? Third term = 2 × 2 + 2² = 4 + 4 = 6; 6 is wrong. It should be 8. Here, 6 is the wrong number.
Similarly , we can find all others terms also.
Fourth term = Third term × 3 + 3²
? Fourth term = 8 × 3 + 3² = 24 + 9 = 33 ;
Fifth term = Fourth term × 4 + 4²
? Fifth term = 33 × 4 + 4² = 132 + 16 = 148 ;
Sixth term = Fifth term × 5 + 5²
? Sixth term = 148 × 5 + 5² = 740 + 25 = 765 ;
Seventh term = Sixth term × 6 + 6²
? Seventh term = 765 × 6 + 6² = 4590 + 36 = 4626 .
New series is given as :-
First term = wrong term × 1 + 1² = 6 × 1 + 1² = 7;
Second term = wrong term × 1 + 1² = 6 × 2 + 2² = 16.
Hence Second term of new series is 16 .

Correct Answer: IRJQP

Explanation:

From given figure , it is clear that
On adding 2 and subtracting 2 alternately in fourth term of given series .
We get , The next term of above given series is IRJQP .

Correct Answer: YXW

Explanation:

From given figure , it is clear that
On adding 2 in Each letter of given series .We get , The next term of above given series is YXW.
Hence the correct option will be B .