Number series.
1. 10, 17.5, 32.5, 55, 85, ?
2. 6, 6, 18, 90, 630, ?
3. 2, 2, 5, 15.5, ?, 267.125
4. 0, 6, 24, 60, 120, ?
Answers
Step-by-step explanation:
1.
10 = 10
17.5 = 10 + 7.5
32.5= 10 + 7.5 + 15
55= 10 + 7.5 + 15 + 22.5
85 = 10 + 7.5 + 15 + 22.5 + 30
Therefore, Next term will be: 10 + 7.5 + 15 + 22.5 + 30 + 37.5 = 122.5
2.
6
6 = 6 + 6×0
18 = 6 + 6×2
90 = 18 + 18×4
630 = 90 + 90×6
Therefore, 630 + 630×8 = 5670
3.
2 =
2 = 2×0.5 + 1
5 = 2 × 1.5 + 2
15.5 = 5 × 2.5 + 3
x = 15.5 × 3.5 + 4 = 54.25 + 4 = 58.25
4.
0 = 0³ - 0
6 = 2³ - 2
24 = 3³ - 3
60 = 4³ - 4
120 = 5³ - 5
Similarly, 6³ - 6 = 210
10 = 10
17.5 = 10 + 7.5
32.5= 10 + 7.5 + 15
55= 10 + 7.5 + 15 + 22.5
85 = 10 + 7.5 + 15 + 22.5 + 30
Therefore, Next term will be: 10 + 7.5 + 15 + 22.5 + 30 + 37.5 =
6 = 6 + 6×0
18 = 6 + 6×2
90 = 18 + 18×4
630 = 90 + 90×6
Therefore, 630 + 630×8 =
2 = 2×0.5 + 1
5 = 2 × 1.5 + 2
15.5 = 5 × 2.5 + 3
x = 15.5 × 3.5 + 4 = 54.25 + 4 =
0 = 0³ - 0
6 = 2³ - 2
24 = 3³ - 3
60 = 4³ - 4
120 = 5³ - 5
Similarly, 6³ - 6 =