First term : 4
Second term: 4+3 = 7
Third term : 7+5 = 12
Fourth term : 12+7 = 19.
Fifth term : 19+9 = 28.
Therefore,
Next Terms : 28+11 = 39

By adding 300 to each term, we get the next term. 1060 is wrong term. It should be 1050.

By subtracting 569, we get the next term.
Required number,
= 2845-569
= 2276.

1st number = 3
2nd number = 3 x 2 +1 = 7
3rd number = 7 x 3 + 2 = 23
4th number = 23 x 4 + 3 = 95
5th number = 95 x 5 + 4 = 479

The terms are given in a series
(2³ -1) = 7
(3³ -1) = 26
(4³ -1) = 63
(5³ -1) = 124
(6³ -1) = 215
(7³ -1) = 342
So, the missing term is,
(8³ -1) = 511.

Sunday to Monday = no gap
Monday to Wednesday = One day gap.
Wednesday to Saturday = Two days gap.
Saturday to Wednesday = Three days gap.
Wednesday to Monday = Four days gap.
In the next term there must be five days and six days gap.
So, Next term would be Sunday, Sunday.

6 (+5)→ 11 (+10)→ 21 (+15)→ 36 (+20)→ 56 (+25) → 81.

1st term : 10
2nd term : 100 = 10+90
3rd term : 200 = 100+100
4th term : 310 = 200+110
5th Term: 430 = 310+120

Therefore, the answer is 430.

First term → 6
Second term → (6*2+1) = 13
Third term → (13*2+2) = 28
Fourth term → (28*2+3) = 59
Fifth term → (59*2+4) = 122
Sixth term → (122*2+5) = 249
So, the required term = 122.

Above series contains two sub-series in it.

4, 10, 16, 22

8, 14, 20

Each of both term there is difference of 6 i.e. next term is 6 greater than previous term.

Solution 1: Each number of given series is 15 multiplied by a prime number.
15*11, 15*13, 15*17, 15*19, 15*23. So, Missing number is
15*29 = 435. Solution 2: This pattern is +30 and then +60 also follow for the give series. 165+30=195, 195+60=255, 255+30=285, 285+60=345, 345+30=375

34(+11) → 45(+11) → 56(+11) →67 (+11) → 78.

The pattern is + 5, - 2, + 5, - 2,........
So, missing term = 36 - 2 = 34

The pattern is ÷ 6, ÷ 5, ÷ 4, ÷ 3, ÷ 2
So, missing term = 960 ÷ 5= 192

The pattern is ÷ 2, × 4, ÷ 2, × 4,...........
So, missing term = 192 ÷ 2 = 96

The pattern is + 13, + 26, + 39,....
So, missing term = 80 + 52 = 132

(8 *3) + 4 = 28 (28 *4) + 4 = 116 (116 *5) + 4 = 584 (584 *6) + 4 = 3508.

First term → 9

Second term → (9 *2 -1) = 17

Third term → (17 *2 -1) = 33

Fourth term → (33 *2 -1) = 65

Fifth term → (65 *2 -1) = 129
 

2^nd number is less by 1 than the 1^st number and 3^rd number is more by 5 than the 2^nd number. The same rule follows in other numbers of the series.

The pattern is - 4, - 9, - 16,.....i.e., - 2², - 3² , - 4² ,..............
So, the missing term = 169 - 5² = 169 - 25 = 144

The pattern is - 45, - 35, - 25,........
So, missing term = 20 - 15 = 5

The pattern is + 1, × 3, + 1, × 3, + 1, × 3, + 1,.............
So, missing term = 67 × 3 = 201

The pattern is × 2, × ³/₂, × 2, × ³/₂, × 2,.............
So, missing term = 18 × ³/₂ = 27

The pattern is + 11, + 22, + 33,..............
So, missing term = 72 + 44 = 116

Logic:
Last Term *2 - 3 = Next Term.
First Term = 7
Second Term = 7 * 2 -3 = 11
Third Term = 11 * 2 - 3 = 19
Fourth Term = 19 * 2 - 3 = 35
Fifth Term = 35 * 2 - 3 = 67
Sixth Term = 67 * 2 -3 = 131

---

Alternative Solution :
Last term + 2ⁿ = Next Term
First Term = 7
Second Term = 7 + 2² = 11
Third Term = 11 + 2³ = 19
Fourth Term = 19 + 2⁴ = 35
Fifth Term = 35 + 2⁵ = 67
Sixth Term = 67 + 2⁶ = 131

Logic:
Previous Term * 3 - 2 = Next term.
First Term = 8
Second term = 8 * 3 - 2 = 24 - 2 = 22
Third term = 22 * 3 - 2 = 64
Fourth term = 64 * 3 - 2 = 190
Fifth Term = 190 * 3 - 2 = 568
Sixth Term = 568 * 3 - 2 = 1704 - 2 = 1702

The pattern is + 90, + 100, + 110......
So, the missing term = 310 + 120 = 430

The pattern is + 0, + 3, + 8, + 15,.............i.e.,+ (1² - 1) , + (2² - 1), + (3² - 1), + (4² - 1),................
So, the missing term = 28 + (5² - 1) = 28 + 24 = 52

The pattern is + 2, + 6, + 6, + 10, +10,.....
So, the missing term = 14 + 10 =24

The pattern is + 4, + 8, + 12, + 16,..........
So, missing term = 41 + 20 = 61