Respuesta :

dspader

Answer:

See below.

Step-by-step explanation:

"1*1=1

2*1=2. 2*2=4

3*2=6,3*3=9

4*2=8,4*3=12,4*4=16

5*2=10,5*3=15, 5*4=20,5*5=25

6*2=12,6*3=18,6*4=24,6*5=30,6*6=36

At last we are getting square numbers...

1^1=1....2^2 =4... 3^3=9....4^4=16..... 5 ^5=25....6 ^6=36"

The answer to number 1 is also here:

https://brainly.in/question/31989585

Start at 8, double each number, add 2.

8*2=16+2=18

18*2=36+2=38

38*2=76+2=78

78*2=156+2=158

158*2=316+2=318

So, starting at 8, the first five numbers in the sequence is:

8, 18, 38, 78, 158

-hope it helps

mhanifa

Answer:

  • See below

Step-by-step explanation:

4.1

The first pattern:

  • 1, 2, 3, 4, 5, 6, ...

This is an AP with the first term of 1 and common difference of 1:

  • aₙ = 1 + (n - 1)*1 = 1 + n - 1 = n ⇒ aₙ = n

The second pattern:

  • 2, 4, 6, 8, 10, 12, ...

This is an AP with the first term of 2 and common difference of 2:

  • aₙ = 2 + (n - 1)*2 = 2 + 2n - 2 = 2n ⇒ aₙ = 2n

The third pattern:

  • 3, 6, 9, 12, 15, 18, ...

This is an AP with the first term of 3 and common difference of 3:

  • aₙ = 3 + (n - 1)*3 = 3 + 3n - 3 = 3n ⇒ aₙ = 3n

4.2

The first term is 8, for the second term, double this and add 2:

  • a₁ = 8
  • aₙ = 2*aₙ₋₁ + 2

Find the first five numbers:

  • a₂ = 8*2 + 2 = 18
  • a₃ = 2*18 + 2 = 38
  • a₄ = 2*38 + 2 = 78
  • a₅ = 2*78 + 2 = 158

The sequence is:

  • 8, 18, 38, 78, 158, ...
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