All categories

2 years ago

We can’t understand how to find the pattern

Mathematics

1 answer:

cupoosta [38]2 years ago

5 0

Answer:

Pattern: subtract 2 from the input to get the output

When the input is 9, the output is 7

When the input is 13, the output is 11

Step-by-step explanation:

» <u>Application + Solution</u>

To find the pattern, we have to look for common things we notice between the input and output.

After analyzing, we can surely notice that we subtract two from the input each time to get the output because 3 - 2 = 1, 8 - 2 = 6, 15 - 2 = 13, and 20 - 2 = 18.

Now that we realized the pattern, we subtract 2 from 9 and 13.

9 - 2 = 7
13 - 2 = 11

You might be interested in

Ab¯¯¯¯¯ is congruent to cd¯¯¯¯¯. point p is the midpoint of ab¯¯¯¯¯, and point q is the midpoint of cd¯¯¯¯¯. which relationship

Olenka [21]

Ap is congruent to dq <== last one

4 0

3 years ago

Verify by direct substitution that the given power series is a solution of the indicated differential equation. [Hint: For a pow

shepuryov [24]

Answer:

The given power series $y =\sum^{\infty}_{n=0} {(-1)^n x^{2n}}$ is a solution of the differential equation (1+x^2)y' + 2xy = 0

Step-by-step explanation:

This is a very trivial exercise, follow the steps below for the solution:

Step 1: Since n = 0, 1, 2, 3, 4, ........, Substitute the values of n into equation (1) below.

$y =\sum^{\infty}_{n=0} {(-1)^n x^{2n}}$ .....................(1)

$y = 1 - x^2 + x^4 - x^6 + x^8.........$

Step 2: Find the derivative of y, i.e. y'

$y' = -2x + 4x^3 - 6x^5 + 8x^7 .............$

Step 3: Substitute y and y' into equation (2) below:

$(1+x^2)y' + 2xy = 0\\\\(1+x^2)(-2x + 4x^3 - 6x^5 + 8x^7......) + 2x(1 - x^2 + x^4 - x^6 + x^8.......) = 0\\\\-2x+ 4x^3 - 6x^5 + 8x^7........ - 2x^3 +4x^5 - 6x^7 + 8x^9 ......+ 2x - 2x^3 + 2x^5 - 2x^7 + 2x^9...... = 0\\\\0 = 0$

(Verified)

Since the LHS = RHS = 0, the given power series $y =\sum^{\infty}_{n=0} {(-1)^n x^{2n}}$ is a solution of the differential equation (1+x^2)y' + 2xy = 0

6 0

3 years ago

Paolo pays $244 for 5 indentical calculators. About how munh dose paolo pay for one calculators?

Alex787 [66]

Hello ;)

244÷5= 48,8

So the result is: $48,8

6 0

3 years ago

Simplify: 13x - y - y + 7y - 12x

Citrus2011 [14]

The answer is x + 5y. You have to combine like terms

8 0

2 years ago

How do you graph f(x)=-2+3

lidiya [134]

Answer:

sup

Step-by-step explanation:

you re bad wow

4 0

3 years ago