Question

1) 21 , 23 , 29 , 47, ?
2) 3 ,4, 7, 11, 18, 29 ?
3)3, 27, 125 , 343, ?
4) 1, 6, 15,___,45, 66,91
5)0.5, 1.5, 4.5, 13.5___
6) 121, 225, 361, ?
7) 2, 3, 8, 63 ,?​

Answer 1

Answer:

Step-by-step explanation:

04)

1 x 1=1.

2 x (1+2)=6,

3 x (3+2)=15

4 x (5+2)=28

that is answer,

5 x (7+2)=45,

6 x (9+2)=66,

7 x (11+2)=91.

I HOPE IT HELPS YOU... :)

BRAINLIEST PLS... :)

Answer 2

Answer :

1. 101
2. 42
3. 1331
4. 28
5. 40.5
6. 529
7. 3968

Explanation:-

$1) \: \: 21 \: 23 \: 29 \: 47 \: \:$

$23 - 21 = 2$

$29 - 23 = 6........2 \times 3$

$47 - 29 = 18.........6 \times 3$

$47 + (18 \times 3)$

$= 101$

2) 3,4,7,11,18,29 ,?

$4 - 3 = 1$

$7 - 4 = 3$

$11 - 7 = 5$

$18 - 11 = 7$

$29 - 18 = 11$

$42 - 29 = 13$

$the \: number \: is \: 42$

3) 3,27,125,343,?

${1}^{3} = 3$

${3}^{3} = 27$

${5}^{3} = 125$

${7}^{3} = 343$

${11}^{2} = 1331$

$the \: number \: is \: 1331$

4) 1,6,15,?,45,66,91

+5 ,+9 , ..., ..., +21,+25

$we \: see \: that \: 4 \: is \: getting \: increased \: at \: every \: term \: of \: addition$

$therefore \: the \: missing \: term \: will \: be \: + 5(9 + 4) = 15 + 13 = 28$

5) 0.5 , 1.5 , 4.5 , 13.5 ?

$we \: have \: to \: multiply \: the \: term \: by \: 3$

$.5 \times 3 = 1.5$

$1.5 \times 3 = 4.5$

$4.5 \times 3 = 13.5$

$13.5 \times 3 = 40.5$

$therefore \: the \: missing \: term \: is \: 40.5$

6) 121, 225 , 361 , ?

$121 = {11}^{2} \: \:.......11 + 4 = 15$

$225 = {15}^{2} ........15 + 4 = 19$

$361 = {19}^{2} ..........19 + 4 = 23$

$529 = {23}^{2}$

$therefore \: the \: missing \: number \: is \: 529$

7) 2, 3, 8 , 63 ,?

${2}^{2} - 1 = 4 - 1 = 3$

${3}^{2} - 1 = 9 - 1 = 8$

${8}^{2} - 1 = 64 - 1 = 63$

${63}^{2} - 1 = 3969 - 1 = 3968$

$therefore \: the \: missing \: number \: is \: 3968$

Hope it helps you friend