What comes next for example 82 , 78 , 79 , and , 1/2 , 5/6 , 7/6 , 3/2, and, , 25 , 50 , 51 , 102 , ,and, 13 , 39 , 117 , 351 , ,and, , 2/3 , 1/3 , 1/6 , 1/12 , (ANSWER PO ANG KALILANGAN) (WITH BRAINLY PH) (SALAMAT PO)
Answers
1) 82 , 78 , 79 ,
→ 82 - (2)² = 82 - 4 = 78
→ 78 + (1)² = 78 + 1 = 79
→ 79 - (0)² = 79 - 0 = 79
2) 25 , 50 , 51 , 102 , ,
→ 25 * 2 = 50
→ 50 + 1 = 51
→ 51 * 2 = 102
→ 102 + 1 = 103
3) 13 , 39 , 117 , 351 ,
→ 13 * 3 = 39
→ 39 * 3 = 117
→ 117 * 3 = 351
→ 351 * 3 = 1053
4) 2/3 , 1/3 , 1/6 , 1/12
→ (2/3) * (1/2) = 1/3
→ 1/3 * 1/2 = 1/6
→ 1/6 * 1/2 = 1/12
→ 1/12 * 1/2 = 1/24
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Given : 1/2 , 5/6 , 7/6 , 3/2
25 , 50 , 51 , 102
13 , 39 , 117 , 351 ,
2/3 , 1/3 , 1/6 , 1/12
To Find : what comes next
Solution:
1/2 , 5/6 , 7/6 , 3/2
= 3/6 , 5/6 , 7/6 , 9/6
Hence next comes 11/6
as numerator is getting increased by 2
or u can say an AP with d = 2/6
25 , 50 , 51 , 102
25 x 2 = 50
50 + 1 = 51
51 x 2 = 102
102 + 1 = 103
and so on
13 , 39 , 117 , 351 ,
13 x 3 = 39
39 x 3 = 117
117 x3 = 351
351 x 3 = 1053
GP with common ratio 3
2/3 , 1/3 , 1/6 , 1/12
2/3 x 1/2 = 1/3
1/3 x 1/2 = 1/6
1/6 x 1/2 = 1/12
1/12 x 1/2 = 1/24
GP with common ratio 1/2
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