3 , 7. 5 ,15 , 37.5 , 75 ,167.5 , 375

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: 229

Explanation:

The given series is in the below pattern,
First term = 2
Second term = First term + 1³
? Second term = 2 + 1³ = 3 ;
Third term = Second term + 2³
? Third term = 3 + 2³ = 11 ;
Similarly , we can find the all others terms also.
Fourth term = Third term + 4²
? Fourth term = 11 + 3³ = 38 ;
Fifth term = Fourth term + 5²
? Fifth term = 38 + 4³ = 102
Sixth term = Fifth term + 6²
? Sixth term = 102 + 5³ = 229 ; 229 is wrong. It should be 227.
Seventh term = Sixth term + 7²
? Seventh term = 227 + 6³ = 443
Hence, 229 is wrong. It should be 227.

Correct Answer:

Explanation:

The given series is in the below pattern,we can see that
Next term= ( Previous term × variable ) + variable
First term = 3
Second term = ( First term × variable ) + 0.5 = ( 3 x 0.5 ) + 0.5 = 2
Third term = ( Second term × variable ) + 1 = ( 2 x 1 ) + 1 = 3
Similarly , we can calculate all others terms also.
Fourth term = ( Third term × variable ) + 1.5 = ( 3 × 1.5 ) + 1.5 = 6 ;
Fifth term = ( Fourth term × variable ) + 2 = ( 6 × 2 ) + 2 = 12 ; 12 is wrong. It should be 14.
Sixth term = ( Fifth term × variable ) + 2.5 = (14 × 2.5 ) + 2.5 = 37.5 ;
Seventh term = ( Sixth term × variable ) + 3 = ( 37.5 × 3 ) + 3 = 115.5
Hence, 12 is wrong. It should be 14.

Correct Answer:

Explanation:

As per the details in the question the series is in the form of
The sum of the first two nos. is the third no.
? First term + Second term = Third term
? 1 + 3 = 4 ;
Second term + Third term = Fourth term
? 3 + 4 = 7 ;
Third term + Fourth term = Fifth term
? 4 + 7 = 11 ;
Fourth term + Fifth term = Sixth term
? 7 + 11 = 18 ;
Fifth term + Sixth term = Seventh term
? 11 + 18 = 27 is wrong. It should be 29.
Sixth term + Seventh term = Eighth term
? 18 + 29 = 47
Hence, 27 is wrong. It should be 29.

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: 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: 122

Explanation:

As per the details in the question the series is in the form of
Next term = Previous term × variable +variable
First term = 11
Second term = First term × 1.5 + 1.5
? Second term = 11 × 1.5 + 1.5 = 18 ;
Third term = Second term × 2 + 2
? Third term = 18 × 2 + 2 = 39 , is wrong . it should be 38 as third term .
Similarly , we can find all others terms also.
Fourth term = Third term × 2.5 + 2.5
? Fourth term = 38 × 2.5 + 2.5 = 97.5 ;
Fifth term = Fourth term × 3 + 3
? Fifth term = 97.5 × 3 + 3 = 295.5 ;
Sixth term = Fifth term × 3.5 + 3.5
? Sixth term = 295.5 × 3.5 + 3.5 = 1037.75 ;
New series is given as -
First term = 39 × 1.5 + 1.5 = 60;
Second term = 60 × 2 + 2 = 122.
Hence Second term of new series is 122.

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.